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Finding the Fourth Proportional to 76,146.65, 105,081.54 and 42,155.18

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Solution

The fourth proportional to 76,146.65, 105,081.54 and 42,155.18 is: 58,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,146.65 : 105,081.54 = 42,155.18 : x
  2. Step 2: Convert to fraction form
    76,146.65/105,081.54 = 42,155.18/x
  3. Step 3: Cross multiply
    76,146.65x = 105,081.54 × 42,155.18
  4. Step 4: Simplify right side
    76,146.65x = 4,429,731,233.38
  5. Step 5: Solve for x
    x = 4,429,731,233.38/76,146.65
  6. Step 6: Final answer
    x = 58,173.69

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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.