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Finding the Fourth Proportional to 37,648.32, 51,948 and 23,498.88

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Solution

The fourth proportional to 37,648.32, 51,948 and 23,498.88 is: 32,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.32 : 51,948 = 23,498.88 : x
  2. Step 2: Convert to fraction form
    37,648.32/51,948 = 23,498.88/x
  3. Step 3: Cross multiply
    37,648.32x = 51,948 × 23,498.88
  4. Step 4: Simplify right side
    37,648.32x = 1,220,719,818.24
  5. Step 5: Solve for x
    x = 1,220,719,818.24/37,648.32
  6. Step 6: Final answer
    x = 32,424.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.