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Finding the Fourth Proportional to 52,471, 78,708.66 and 15,535

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Solution

The fourth proportional to 52,471, 78,708.66 and 15,535 is: 23,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471 : 78,708.66 = 15,535 : x
  2. Step 2: Convert to fraction form
    52,471/78,708.66 = 15,535/x
  3. Step 3: Cross multiply
    52,471x = 78,708.66 × 15,535
  4. Step 4: Simplify right side
    52,471x = 1,222,739,033.10
  5. Step 5: Solve for x
    x = 1,222,739,033.10/52,471
  6. Step 6: Final answer
    x = 23,303.14

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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.