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Finding the Fourth Proportional to 32,643.95, 48,920.13 and 13,898.61

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Solution

The fourth proportional to 32,643.95, 48,920.13 and 13,898.61 is: 20,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643.95 : 48,920.13 = 13,898.61 : x
  2. Step 2: Convert to fraction form
    32,643.95/48,920.13 = 13,898.61/x
  3. Step 3: Cross multiply
    32,643.95x = 48,920.13 × 13,898.61
  4. Step 4: Simplify right side
    32,643.95x = 679,921,808.02
  5. Step 5: Solve for x
    x = 679,921,808.02/32,643.95
  6. Step 6: Final answer
    x = 20,828.42

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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.