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Finding the Fourth Proportional to 28,032.32, 42,066.68 and 10,502

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Solution

The fourth proportional to 28,032.32, 42,066.68 and 10,502 is: 15,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,032.32 : 42,066.68 = 10,502 : x
  2. Step 2: Convert to fraction form
    28,032.32/42,066.68 = 10,502/x
  3. Step 3: Cross multiply
    28,032.32x = 42,066.68 × 10,502
  4. Step 4: Simplify right side
    28,032.32x = 441,784,273.36
  5. Step 5: Solve for x
    x = 441,784,273.36/28,032.32
  6. Step 6: Final answer
    x = 15,759.82

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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.