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Finding the Fourth Proportional to 97,242.65, 145,780.78 and 37,314.14

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Solution

The fourth proportional to 97,242.65, 145,780.78 and 37,314.14 is: 55,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242.65 : 145,780.78 = 37,314.14 : x
  2. Step 2: Convert to fraction form
    97,242.65/145,780.78 = 37,314.14/x
  3. Step 3: Cross multiply
    97,242.65x = 145,780.78 × 37,314.14
  4. Step 4: Simplify right side
    97,242.65x = 5,439,684,196.96
  5. Step 5: Solve for x
    x = 5,439,684,196.96/97,242.65
  6. Step 6: Final answer
    x = 55,939.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.