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Finding the Fourth Proportional to 82,711.50, 124,050.78 and 23,547.66

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Solution

The fourth proportional to 82,711.50, 124,050.78 and 23,547.66 is: 35,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,711.50 : 124,050.78 = 23,547.66 : x
  2. Step 2: Convert to fraction form
    82,711.50/124,050.78 = 23,547.66/x
  3. Step 3: Cross multiply
    82,711.50x = 124,050.78 × 23,547.66
  4. Step 4: Simplify right side
    82,711.50x = 2,921,105,590.17
  5. Step 5: Solve for x
    x = 2,921,105,590.17/82,711.50
  6. Step 6: Final answer
    x = 35,316.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.