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Finding the Fourth Proportional to 83,531.68, 115,275.36 and 45,808

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Solution

The fourth proportional to 83,531.68, 115,275.36 and 45,808 is: 63,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531.68 : 115,275.36 = 45,808 : x
  2. Step 2: Convert to fraction form
    83,531.68/115,275.36 = 45,808/x
  3. Step 3: Cross multiply
    83,531.68x = 115,275.36 × 45,808
  4. Step 4: Simplify right side
    83,531.68x = 5,280,533,690.88
  5. Step 5: Solve for x
    x = 5,280,533,690.88/83,531.68
  6. Step 6: Final answer
    x = 63,215.94

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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.