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Finding the Fourth Proportional to 61,546.60, 92,319.92 and 19,430.95

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Solution

The fourth proportional to 61,546.60, 92,319.92 and 19,430.95 is: 29,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,546.60 : 92,319.92 = 19,430.95 : x
  2. Step 2: Convert to fraction form
    61,546.60/92,319.92 = 19,430.95/x
  3. Step 3: Cross multiply
    61,546.60x = 92,319.92 × 19,430.95
  4. Step 4: Simplify right side
    61,546.60x = 1,793,863,749.52
  5. Step 5: Solve for x
    x = 1,793,863,749.52/61,546.60
  6. Step 6: Final answer
    x = 29,146.43

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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.