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Finding the Fourth Proportional to 52,353.90, 72,238.59 and 31,138.38

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Solution

The fourth proportional to 52,353.90, 72,238.59 and 31,138.38 is: 42,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,353.90 : 72,238.59 = 31,138.38 : x
  2. Step 2: Convert to fraction form
    52,353.90/72,238.59 = 31,138.38/x
  3. Step 3: Cross multiply
    52,353.90x = 72,238.59 × 31,138.38
  4. Step 4: Simplify right side
    52,353.90x = 2,249,392,666.08
  5. Step 5: Solve for x
    x = 2,249,392,666.08/52,353.90
  6. Step 6: Final answer
    x = 42,965.14

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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.