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Finding the Fourth Proportional to 82,343.60, 123,547.80 and 32,415.20

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Solution

The fourth proportional to 82,343.60, 123,547.80 and 32,415.20 is: 48,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,343.60 : 123,547.80 = 32,415.20 : x
  2. Step 2: Convert to fraction form
    82,343.60/123,547.80 = 32,415.20/x
  3. Step 3: Cross multiply
    82,343.60x = 123,547.80 × 32,415.20
  4. Step 4: Simplify right side
    82,343.60x = 4,004,826,646.56
  5. Step 5: Solve for x
    x = 4,004,826,646.56/82,343.60
  6. Step 6: Final answer
    x = 48,635.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.