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Finding the Fourth Proportional to 52,356.42, 72,246.47 and 31,131.59

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Solution

The fourth proportional to 52,356.42, 72,246.47 and 31,131.59 is: 42,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,356.42 : 72,246.47 = 31,131.59 : x
  2. Step 2: Convert to fraction form
    52,356.42/72,246.47 = 31,131.59/x
  3. Step 3: Cross multiply
    52,356.42x = 72,246.47 × 31,131.59
  4. Step 4: Simplify right side
    52,356.42x = 2,249,146,966.10
  5. Step 5: Solve for x
    x = 2,249,146,966.10/52,356.42
  6. Step 6: Final answer
    x = 42,958.38

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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.