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Finding the Fourth Proportional to 45,706.42, 68,535.01 and 24,657.76

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Solution

The fourth proportional to 45,706.42, 68,535.01 and 24,657.76 is: 36,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,706.42 : 68,535.01 = 24,657.76 : x
  2. Step 2: Convert to fraction form
    45,706.42/68,535.01 = 24,657.76/x
  3. Step 3: Cross multiply
    45,706.42x = 68,535.01 × 24,657.76
  4. Step 4: Simplify right side
    45,706.42x = 1,689,919,828.18
  5. Step 5: Solve for x
    x = 1,689,919,828.18/45,706.42
  6. Step 6: Final answer
    x = 36,973.36

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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.