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Finding the Fourth Proportional to 37,111.53, 55,666.82 and 9,031.63

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Solution

The fourth proportional to 37,111.53, 55,666.82 and 9,031.63 is: 13,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,111.53 : 55,666.82 = 9,031.63 : x
  2. Step 2: Convert to fraction form
    37,111.53/55,666.82 = 9,031.63/x
  3. Step 3: Cross multiply
    37,111.53x = 55,666.82 × 9,031.63
  4. Step 4: Simplify right side
    37,111.53x = 502,762,121.52
  5. Step 5: Solve for x
    x = 502,762,121.52/37,111.53
  6. Step 6: Final answer
    x = 13,547.33

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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.