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Finding the Fourth Proportional to 74,498, 102,807.24 and 40,966.16

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Solution

The fourth proportional to 74,498, 102,807.24 and 40,966.16 is: 56,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498 : 102,807.24 = 40,966.16 : x
  2. Step 2: Convert to fraction form
    74,498/102,807.24 = 40,966.16/x
  3. Step 3: Cross multiply
    74,498x = 102,807.24 × 40,966.16
  4. Step 4: Simplify right side
    74,498x = 4,211,617,843.00
  5. Step 5: Solve for x
    x = 4,211,617,843.00/74,498
  6. Step 6: Final answer
    x = 56,533.30

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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.