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Finding the Fourth Proportional to 97,649.37, 134,770.50 and 61,842.71

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Solution

The fourth proportional to 97,649.37, 134,770.50 and 61,842.71 is: 85,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,649.37 : 134,770.50 = 61,842.71 : x
  2. Step 2: Convert to fraction form
    97,649.37/134,770.50 = 61,842.71/x
  3. Step 3: Cross multiply
    97,649.37x = 134,770.50 × 61,842.71
  4. Step 4: Simplify right side
    97,649.37x = 8,334,572,948.06
  5. Step 5: Solve for x
    x = 8,334,572,948.06/97,649.37
  6. Step 6: Final answer
    x = 85,352.04

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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.