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Finding the Fourth Proportional to 52,631.68, 72,622.56 and 31,409.68

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Solution

The fourth proportional to 52,631.68, 72,622.56 and 31,409.68 is: 43,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,631.68 : 72,622.56 = 31,409.68 : x
  2. Step 2: Convert to fraction form
    52,631.68/72,622.56 = 31,409.68/x
  3. Step 3: Cross multiply
    52,631.68x = 72,622.56 × 31,409.68
  4. Step 4: Simplify right side
    52,631.68x = 2,281,051,370.38
  5. Step 5: Solve for x
    x = 2,281,051,370.38/52,631.68
  6. Step 6: Final answer
    x = 43,339.89

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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.