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Finding the Fourth Proportional to 37,111.40, 55,667.22 and 9,031.46

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Solution

The fourth proportional to 37,111.40, 55,667.22 and 9,031.46 is: 13,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,111.40 : 55,667.22 = 9,031.46 : x
  2. Step 2: Convert to fraction form
    37,111.40/55,667.22 = 9,031.46/x
  3. Step 3: Cross multiply
    37,111.40x = 55,667.22 × 9,031.46
  4. Step 4: Simplify right side
    37,111.40x = 502,756,270.74
  5. Step 5: Solve for x
    x = 502,756,270.74/37,111.40
  6. Step 6: Final answer
    x = 13,547.22

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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.