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Finding the Fourth Proportional to 52,509.92, 72,461.94 and 31,278.20

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Solution

The fourth proportional to 52,509.92, 72,461.94 and 31,278.20 is: 43,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.92 : 72,461.94 = 31,278.20 : x
  2. Step 2: Convert to fraction form
    52,509.92/72,461.94 = 31,278.20/x
  3. Step 3: Cross multiply
    52,509.92x = 72,461.94 × 31,278.20
  4. Step 4: Simplify right side
    52,509.92x = 2,266,479,051.71
  5. Step 5: Solve for x
    x = 2,266,479,051.71/52,509.92
  6. Step 6: Final answer
    x = 43,162.87

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1.5x scale

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.