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Finding the Fourth Proportional to 37,306.72, 51,484.32 and 20,312

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Solution

The fourth proportional to 37,306.72, 51,484.32 and 20,312 is: 28,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306.72 : 51,484.32 = 20,312 : x
  2. Step 2: Convert to fraction form
    37,306.72/51,484.32 = 20,312/x
  3. Step 3: Cross multiply
    37,306.72x = 51,484.32 × 20,312
  4. Step 4: Simplify right side
    37,306.72x = 1,045,749,507.84
  5. Step 5: Solve for x
    x = 1,045,749,507.84/37,306.72
  6. Step 6: Final answer
    x = 28,031.13

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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.