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Finding the Fourth Proportional to 49,641.50, 74,104.84 and 42,545

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Solution

The fourth proportional to 49,641.50, 74,104.84 and 42,545 is: 63,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,641.50 : 74,104.84 = 42,545 : x
  2. Step 2: Convert to fraction form
    49,641.50/74,104.84 = 42,545/x
  3. Step 3: Cross multiply
    49,641.50x = 74,104.84 × 42,545
  4. Step 4: Simplify right side
    49,641.50x = 3,152,790,417.80
  5. Step 5: Solve for x
    x = 3,152,790,417.80/49,641.50
  6. Step 6: Final answer
    x = 63,511.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.