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Finding the Fourth Proportional to 97,242.63, 145,780.75 and 37,314.11

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Solution

The fourth proportional to 97,242.63, 145,780.75 and 37,314.11 is: 55,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242.63 : 145,780.75 = 37,314.11 : x
  2. Step 2: Convert to fraction form
    97,242.63/145,780.75 = 37,314.11/x
  3. Step 3: Cross multiply
    97,242.63x = 145,780.75 × 37,314.11
  4. Step 4: Simplify right side
    97,242.63x = 5,439,678,732.58
  5. Step 5: Solve for x
    x = 5,439,678,732.58/97,242.63
  6. Step 6: Final answer
    x = 55,939.24

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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.