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Finding the Fourth Proportional to 37,731.72, 52,077 and 24,985.08

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Solution

The fourth proportional to 37,731.72, 52,077 and 24,985.08 is: 34,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,731.72 : 52,077 = 24,985.08 : x
  2. Step 2: Convert to fraction form
    37,731.72/52,077 = 24,985.08/x
  3. Step 3: Cross multiply
    37,731.72x = 52,077 × 24,985.08
  4. Step 4: Simplify right side
    37,731.72x = 1,301,148,011.16
  5. Step 5: Solve for x
    x = 1,301,148,011.16/37,731.72
  6. Step 6: Final answer
    x = 34,484.20

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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.