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Finding the Fourth Proportional to 57,752, 86,662.56 and 24,920

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Solution

The fourth proportional to 57,752, 86,662.56 and 24,920 is: 37,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,752 : 86,662.56 = 24,920 : x
  2. Step 2: Convert to fraction form
    57,752/86,662.56 = 24,920/x
  3. Step 3: Cross multiply
    57,752x = 86,662.56 × 24,920
  4. Step 4: Simplify right side
    57,752x = 2,159,630,995.20
  5. Step 5: Solve for x
    x = 2,159,630,995.20/57,752
  6. Step 6: Final answer
    x = 37,394.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.