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Finding the Fourth Proportional to 55,482.52, 83,223.06 and 13,929.52

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Solution

The fourth proportional to 55,482.52, 83,223.06 and 13,929.52 is: 20,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482.52 : 83,223.06 = 13,929.52 : x
  2. Step 2: Convert to fraction form
    55,482.52/83,223.06 = 13,929.52/x
  3. Step 3: Cross multiply
    55,482.52x = 83,223.06 × 13,929.52
  4. Step 4: Simplify right side
    55,482.52x = 1,159,257,278.73
  5. Step 5: Solve for x
    x = 1,159,257,278.73/55,482.52
  6. Step 6: Final answer
    x = 20,894.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.