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Finding the Fourth Proportional to 38,024.87, 52,478.82 and 22,925.16

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Solution

The fourth proportional to 38,024.87, 52,478.82 and 22,925.16 is: 31,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.87 : 52,478.82 = 22,925.16 : x
  2. Step 2: Convert to fraction form
    38,024.87/52,478.82 = 22,925.16/x
  3. Step 3: Cross multiply
    38,024.87x = 52,478.82 × 22,925.16
  4. Step 4: Simplify right side
    38,024.87x = 1,203,085,345.11
  5. Step 5: Solve for x
    x = 1,203,085,345.11/38,024.87
  6. Step 6: Final answer
    x = 31,639.44

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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.