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Finding the Fourth Proportional to 70,543.78, 105,814.50 and 28,422.83

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Solution

The fourth proportional to 70,543.78, 105,814.50 and 28,422.83 is: 42,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543.78 : 105,814.50 = 28,422.83 : x
  2. Step 2: Convert to fraction form
    70,543.78/105,814.50 = 28,422.83/x
  3. Step 3: Cross multiply
    70,543.78x = 105,814.50 × 28,422.83
  4. Step 4: Simplify right side
    70,543.78x = 3,007,547,545.04
  5. Step 5: Solve for x
    x = 3,007,547,545.04/70,543.78
  6. Step 6: Final answer
    x = 42,633.78

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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.