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Finding the Fourth Proportional to 82,512.16, 123,779.76 and 40,948

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Solution

The fourth proportional to 82,512.16, 123,779.76 and 40,948 is: 61,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512.16 : 123,779.76 = 40,948 : x
  2. Step 2: Convert to fraction form
    82,512.16/123,779.76 = 40,948/x
  3. Step 3: Cross multiply
    82,512.16x = 123,779.76 × 40,948
  4. Step 4: Simplify right side
    82,512.16x = 5,068,533,612.48
  5. Step 5: Solve for x
    x = 5,068,533,612.48/82,512.16
  6. Step 6: Final answer
    x = 61,427.72

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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.