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Finding the Fourth Proportional to 57,655.38, 79,565.02 and 32,164.06

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Solution

The fourth proportional to 57,655.38, 79,565.02 and 32,164.06 is: 44,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,655.38 : 79,565.02 = 32,164.06 : x
  2. Step 2: Convert to fraction form
    57,655.38/79,565.02 = 32,164.06/x
  3. Step 3: Cross multiply
    57,655.38x = 79,565.02 × 32,164.06
  4. Step 4: Simplify right side
    57,655.38x = 2,559,134,077.18
  5. Step 5: Solve for x
    x = 2,559,134,077.18/57,655.38
  6. Step 6: Final answer
    x = 44,386.74

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Why These Related Problems?

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