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Finding the Fourth Proportional to 32,682.14, 49,008.54 and 9,303.02

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Solution

The fourth proportional to 32,682.14, 49,008.54 and 9,303.02 is: 13,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.14 : 49,008.54 = 9,303.02 : x
  2. Step 2: Convert to fraction form
    32,682.14/49,008.54 = 9,303.02/x
  3. Step 3: Cross multiply
    32,682.14x = 49,008.54 × 9,303.02
  4. Step 4: Simplify right side
    32,682.14x = 455,927,427.79
  5. Step 5: Solve for x
    x = 455,927,427.79/32,682.14
  6. Step 6: Final answer
    x = 13,950.35

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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.