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Finding the Fourth Proportional to 99,566.38, 137,401.54 and 54,854.38

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Solution

The fourth proportional to 99,566.38, 137,401.54 and 54,854.38 is: 75,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,566.38 : 137,401.54 = 54,854.38 : x
  2. Step 2: Convert to fraction form
    99,566.38/137,401.54 = 54,854.38/x
  3. Step 3: Cross multiply
    99,566.38x = 137,401.54 × 54,854.38
  4. Step 4: Simplify right side
    99,566.38x = 7,537,076,287.75
  5. Step 5: Solve for x
    x = 7,537,076,287.75/99,566.38
  6. Step 6: Final answer
    x = 75,699.01

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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.