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Finding the Fourth Proportional to 97,866.48, 135,024.17 and 57,590.14

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Solution

The fourth proportional to 97,866.48, 135,024.17 and 57,590.14 is: 79,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,866.48 : 135,024.17 = 57,590.14 : x
  2. Step 2: Convert to fraction form
    97,866.48/135,024.17 = 57,590.14/x
  3. Step 3: Cross multiply
    97,866.48x = 135,024.17 × 57,590.14
  4. Step 4: Simplify right side
    97,866.48x = 7,776,060,481.34
  5. Step 5: Solve for x
    x = 7,776,060,481.34/97,866.48
  6. Step 6: Final answer
    x = 79,455.81

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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.