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Finding the Fourth Proportional to 38,733.50, 58,101.06 and 11,031.50

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Solution

The fourth proportional to 38,733.50, 58,101.06 and 11,031.50 is: 16,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,733.50 : 58,101.06 = 11,031.50 : x
  2. Step 2: Convert to fraction form
    38,733.50/58,101.06 = 11,031.50/x
  3. Step 3: Cross multiply
    38,733.50x = 58,101.06 × 11,031.50
  4. Step 4: Simplify right side
    38,733.50x = 640,941,843.39
  5. Step 5: Solve for x
    x = 640,941,843.39/38,733.50
  6. Step 6: Final answer
    x = 16,547.48

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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.