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Finding the Fourth Proportional to 72,346.57, 108,535.70 and 24,313.47

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Solution

The fourth proportional to 72,346.57, 108,535.70 and 24,313.47 is: 36,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,346.57 : 108,535.70 = 24,313.47 : x
  2. Step 2: Convert to fraction form
    72,346.57/108,535.70 = 24,313.47/x
  3. Step 3: Cross multiply
    72,346.57x = 108,535.70 × 24,313.47
  4. Step 4: Simplify right side
    72,346.57x = 2,638,879,002.89
  5. Step 5: Solve for x
    x = 2,638,879,002.89/72,346.57
  6. Step 6: Final answer
    x = 36,475.52

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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.