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Finding the Fourth Proportional to 58,547.68, 80,797.76 and 35,882.30

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Solution

The fourth proportional to 58,547.68, 80,797.76 and 35,882.30 is: 49,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,547.68 : 80,797.76 = 35,882.30 : x
  2. Step 2: Convert to fraction form
    58,547.68/80,797.76 = 35,882.30/x
  3. Step 3: Cross multiply
    58,547.68x = 80,797.76 × 35,882.30
  4. Step 4: Simplify right side
    58,547.68x = 2,899,209,463.65
  5. Step 5: Solve for x
    x = 2,899,209,463.65/58,547.68
  6. Step 6: Final answer
    x = 49,518.78

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