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Finding the Fourth Proportional to 68,925.98, 103,398.70 and 24,543.24

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Solution

The fourth proportional to 68,925.98, 103,398.70 and 24,543.24 is: 36,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,925.98 : 103,398.70 = 24,543.24 : x
  2. Step 2: Convert to fraction form
    68,925.98/103,398.70 = 24,543.24/x
  3. Step 3: Cross multiply
    68,925.98x = 103,398.70 × 24,543.24
  4. Step 4: Simplify right side
    68,925.98x = 2,537,739,109.79
  5. Step 5: Solve for x
    x = 2,537,739,109.79/68,925.98
  6. Step 6: Final answer
    x = 36,818.32

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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.