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Finding the Fourth Proportional to 38,048.06, 52,508.76 and 21,281.06

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Solution

The fourth proportional to 38,048.06, 52,508.76 and 21,281.06 is: 29,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048.06 : 52,508.76 = 21,281.06 : x
  2. Step 2: Convert to fraction form
    38,048.06/52,508.76 = 21,281.06/x
  3. Step 3: Cross multiply
    38,048.06x = 52,508.76 × 21,281.06
  4. Step 4: Simplify right side
    38,048.06x = 1,117,442,123.55
  5. Step 5: Solve for x
    x = 1,117,442,123.55/38,048.06
  6. Step 6: Final answer
    x = 29,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.