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Finding the Fourth Proportional to 52,346.96, 72,214.98 and 31,114.16

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Solution

The fourth proportional to 52,346.96, 72,214.98 and 31,114.16 is: 42,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346.96 : 72,214.98 = 31,114.16 : x
  2. Step 2: Convert to fraction form
    52,346.96/72,214.98 = 31,114.16/x
  3. Step 3: Cross multiply
    52,346.96x = 72,214.98 × 31,114.16
  4. Step 4: Simplify right side
    52,346.96x = 2,246,908,442.12
  5. Step 5: Solve for x
    x = 2,246,908,442.12/52,346.96
  6. Step 6: Final answer
    x = 42,923.38

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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.