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Finding the Fourth Proportional to 57,867.16, 86,807.68 and 20,419.50

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Solution

The fourth proportional to 57,867.16, 86,807.68 and 20,419.50 is: 30,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867.16 : 86,807.68 = 20,419.50 : x
  2. Step 2: Convert to fraction form
    57,867.16/86,807.68 = 20,419.50/x
  3. Step 3: Cross multiply
    57,867.16x = 86,807.68 × 20,419.50
  4. Step 4: Simplify right side
    57,867.16x = 1,772,569,370.71
  5. Step 5: Solve for x
    x = 1,772,569,370.71/57,867.16
  6. Step 6: Final answer
    x = 30,631.70

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1.5x scale

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.