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Finding the Fourth Proportional to 32,113.12, 48,051.42 and 19,417.60

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Solution

The fourth proportional to 32,113.12, 48,051.42 and 19,417.60 is: 29,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.12 : 48,051.42 = 19,417.60 : x
  2. Step 2: Convert to fraction form
    32,113.12/48,051.42 = 19,417.60/x
  3. Step 3: Cross multiply
    32,113.12x = 48,051.42 × 19,417.60
  4. Step 4: Simplify right side
    32,113.12x = 933,043,252.99
  5. Step 5: Solve for x
    x = 933,043,252.99/32,113.12
  6. Step 6: Final answer
    x = 29,054.89

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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.