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Finding the Fourth Proportional to 48,403.68, 66,811 and 29,283.52

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Solution

The fourth proportional to 48,403.68, 66,811 and 29,283.52 is: 40,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,403.68 : 66,811 = 29,283.52 : x
  2. Step 2: Convert to fraction form
    48,403.68/66,811 = 29,283.52/x
  3. Step 3: Cross multiply
    48,403.68x = 66,811 × 29,283.52
  4. Step 4: Simplify right side
    48,403.68x = 1,956,461,254.72
  5. Step 5: Solve for x
    x = 1,956,461,254.72/48,403.68
  6. Step 6: Final answer
    x = 40,419.68

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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.