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Finding the Fourth Proportional to 32,009,557.14, 48,014,461.78 and 7,748,445.08

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Solution

The fourth proportional to 32,009,557.14, 48,014,461.78 and 7,748,445.08 is: 11,622,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009,557.14 : 48,014,461.78 = 7,748,445.08 : x
  2. Step 2: Convert to fraction form
    32,009,557.14/48,014,461.78 = 7,748,445.08/x
  3. Step 3: Cross multiply
    32,009,557.14x = 48,014,461.78 × 7,748,445.08
  4. Step 4: Simplify right side
    32,009,557.14x = 372,037,420,248,754.06
  5. Step 5: Solve for x
    x = 372,037,420,248,754.06/32,009,557.14
  6. Step 6: Final answer
    x = 11,622,698.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.