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Finding the Fourth Proportional to 61,697.98, 92,507.82 and 52,341.22

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Solution

The fourth proportional to 61,697.98, 92,507.82 and 52,341.22 is: 78,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,697.98 : 92,507.82 = 52,341.22 : x
  2. Step 2: Convert to fraction form
    61,697.98/92,507.82 = 52,341.22/x
  3. Step 3: Cross multiply
    61,697.98x = 92,507.82 × 52,341.22
  4. Step 4: Simplify right side
    61,697.98x = 4,841,972,158.34
  5. Step 5: Solve for x
    x = 4,841,972,158.34/61,697.98
  6. Step 6: Final answer
    x = 78,478.62

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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.