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Finding the Fourth Proportional to 97,614.04, 134,773.50 and 61,835.80

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Solution

The fourth proportional to 97,614.04, 134,773.50 and 61,835.80 is: 85,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614.04 : 134,773.50 = 61,835.80 : x
  2. Step 2: Convert to fraction form
    97,614.04/134,773.50 = 61,835.80/x
  3. Step 3: Cross multiply
    97,614.04x = 134,773.50 × 61,835.80
  4. Step 4: Simplify right side
    97,614.04x = 8,333,827,191.30
  5. Step 5: Solve for x
    x = 8,333,827,191.30/97,614.04
  6. Step 6: Final answer
    x = 85,375.29

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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.