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Finding the Fourth Proportional to 74,209.48, 102,419.58 and 45,924.28

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Solution

The fourth proportional to 74,209.48, 102,419.58 and 45,924.28 is: 63,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,209.48 : 102,419.58 = 45,924.28 : x
  2. Step 2: Convert to fraction form
    74,209.48/102,419.58 = 45,924.28/x
  3. Step 3: Cross multiply
    74,209.48x = 102,419.58 × 45,924.28
  4. Step 4: Simplify right side
    74,209.48x = 4,703,545,469.40
  5. Step 5: Solve for x
    x = 4,703,545,469.40/74,209.48
  6. Step 6: Final answer
    x = 63,382.00

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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.