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Finding the Fourth Proportional to 99,307.14, 137,044.44 and 53,985.48

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Solution

The fourth proportional to 99,307.14, 137,044.44 and 53,985.48 is: 74,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,307.14 : 137,044.44 = 53,985.48 : x
  2. Step 2: Convert to fraction form
    99,307.14/137,044.44 = 53,985.48/x
  3. Step 3: Cross multiply
    99,307.14x = 137,044.44 × 53,985.48
  4. Step 4: Simplify right side
    99,307.14x = 7,398,409,874.73
  5. Step 5: Solve for x
    x = 7,398,409,874.73/99,307.14
  6. Step 6: Final answer
    x = 74,500.28

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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.