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Finding the Fourth Proportional to 82,641.65, 114,045.03 and 46,838.43

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Solution

The fourth proportional to 82,641.65, 114,045.03 and 46,838.43 is: 64,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,641.65 : 114,045.03 = 46,838.43 : x
  2. Step 2: Convert to fraction form
    82,641.65/114,045.03 = 46,838.43/x
  3. Step 3: Cross multiply
    82,641.65x = 114,045.03 × 46,838.43
  4. Step 4: Simplify right side
    82,641.65x = 5,341,690,154.50
  5. Step 5: Solve for x
    x = 5,341,690,154.50/82,641.65
  6. Step 6: Final answer
    x = 64,636.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.