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Finding the Fourth Proportional to 61,538.40, 92,302.80 and 24,091.20

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Solution

The fourth proportional to 61,538.40, 92,302.80 and 24,091.20 is: 36,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,538.40 : 92,302.80 = 24,091.20 : x
  2. Step 2: Convert to fraction form
    61,538.40/92,302.80 = 24,091.20/x
  3. Step 3: Cross multiply
    61,538.40x = 92,302.80 × 24,091.20
  4. Step 4: Simplify right side
    61,538.40x = 2,223,685,215.36
  5. Step 5: Solve for x
    x = 2,223,685,215.36/61,538.40
  6. Step 6: Final answer
    x = 36,134.92

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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.