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Finding the Fourth Proportional to 65,781.30, 98,655.74 and 19,024.86

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Solution

The fourth proportional to 65,781.30, 98,655.74 and 19,024.86 is: 28,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,781.30 : 98,655.74 = 19,024.86 : x
  2. Step 2: Convert to fraction form
    65,781.30/98,655.74 = 19,024.86/x
  3. Step 3: Cross multiply
    65,781.30x = 98,655.74 × 19,024.86
  4. Step 4: Simplify right side
    65,781.30x = 1,876,911,641.70
  5. Step 5: Solve for x
    x = 1,876,911,641.70/65,781.30
  6. Step 6: Final answer
    x = 28,532.60

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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.