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Finding the Fourth Proportional to 48,032.49, 66,284.68 and 27,901.16

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Solution

The fourth proportional to 48,032.49, 66,284.68 and 27,901.16 is: 38,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,032.49 : 66,284.68 = 27,901.16 : x
  2. Step 2: Convert to fraction form
    48,032.49/66,284.68 = 27,901.16/x
  3. Step 3: Cross multiply
    48,032.49x = 66,284.68 × 27,901.16
  4. Step 4: Simplify right side
    48,032.49x = 1,849,419,361.93
  5. Step 5: Solve for x
    x = 1,849,419,361.93/48,032.49
  6. Step 6: Final answer
    x = 38,503.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.