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Finding the Fourth Proportional to 76,124.91, 105,045.25 and 45,491.92

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Solution

The fourth proportional to 76,124.91, 105,045.25 and 45,491.92 is: 62,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,124.91 : 105,045.25 = 45,491.92 : x
  2. Step 2: Convert to fraction form
    76,124.91/105,045.25 = 45,491.92/x
  3. Step 3: Cross multiply
    76,124.91x = 105,045.25 × 45,491.92
  4. Step 4: Simplify right side
    76,124.91x = 4,778,710,109.38
  5. Step 5: Solve for x
    x = 4,778,710,109.38/76,124.91
  6. Step 6: Final answer
    x = 62,774.59

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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.