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Finding the Fourth Proportional to 57,657.84, 79,565.40 and 32,509.68

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Solution

The fourth proportional to 57,657.84, 79,565.40 and 32,509.68 is: 44,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.84 : 79,565.40 = 32,509.68 : x
  2. Step 2: Convert to fraction form
    57,657.84/79,565.40 = 32,509.68/x
  3. Step 3: Cross multiply
    57,657.84x = 79,565.40 × 32,509.68
  4. Step 4: Simplify right side
    57,657.84x = 2,586,645,693.07
  5. Step 5: Solve for x
    x = 2,586,645,693.07/57,657.84
  6. Step 6: Final answer
    x = 44,861.99

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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.