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Finding the Fourth Proportional to 61,537.32, 92,363.76 and 31,976.16

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Solution

The fourth proportional to 61,537.32, 92,363.76 and 31,976.16 is: 47,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,537.32 : 92,363.76 = 31,976.16 : x
  2. Step 2: Convert to fraction form
    61,537.32/92,363.76 = 31,976.16/x
  3. Step 3: Cross multiply
    61,537.32x = 92,363.76 × 31,976.16
  4. Step 4: Simplify right side
    61,537.32x = 2,953,438,367.96
  5. Step 5: Solve for x
    x = 2,953,438,367.96/61,537.32
  6. Step 6: Final answer
    x = 47,994.26

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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.