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Finding the Fourth Proportional to 68,698.80, 103,045.50 and 24,323.76

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Solution

The fourth proportional to 68,698.80, 103,045.50 and 24,323.76 is: 36,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,698.80 : 103,045.50 = 24,323.76 : x
  2. Step 2: Convert to fraction form
    68,698.80/103,045.50 = 24,323.76/x
  3. Step 3: Cross multiply
    68,698.80x = 103,045.50 × 24,323.76
  4. Step 4: Simplify right side
    68,698.80x = 2,506,454,011.08
  5. Step 5: Solve for x
    x = 2,506,454,011.08/68,698.80
  6. Step 6: Final answer
    x = 36,484.68

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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.