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Finding the Fourth Proportional to 97,256.85, 145,892.80 and 37,314.02

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Solution

The fourth proportional to 97,256.85, 145,892.80 and 37,314.02 is: 55,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,256.85 : 145,892.80 = 37,314.02 : x
  2. Step 2: Convert to fraction form
    97,256.85/145,892.80 = 37,314.02/x
  3. Step 3: Cross multiply
    97,256.85x = 145,892.80 × 37,314.02
  4. Step 4: Simplify right side
    97,256.85x = 5,443,846,237.89
  5. Step 5: Solve for x
    x = 5,443,846,237.89/97,256.85
  6. Step 6: Final answer
    x = 55,973.91

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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.