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Finding the Fourth Proportional to 34,314, 47,320.92 and 22,386.48

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Solution

The fourth proportional to 34,314, 47,320.92 and 22,386.48 is: 30,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314 : 47,320.92 = 22,386.48 : x
  2. Step 2: Convert to fraction form
    34,314/47,320.92 = 22,386.48/x
  3. Step 3: Cross multiply
    34,314x = 47,320.92 × 22,386.48
  4. Step 4: Simplify right side
    34,314x = 1,059,348,829.16
  5. Step 5: Solve for x
    x = 1,059,348,829.16/34,314
  6. Step 6: Final answer
    x = 30,872.20

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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.