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Finding the Fourth Proportional to 32,643.20, 48,919.01 and 13,897.86

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Solution

The fourth proportional to 32,643.20, 48,919.01 and 13,897.86 is: 20,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643.20 : 48,919.01 = 13,897.86 : x
  2. Step 2: Convert to fraction form
    32,643.20/48,919.01 = 13,897.86/x
  3. Step 3: Cross multiply
    32,643.20x = 48,919.01 × 13,897.86
  4. Step 4: Simplify right side
    32,643.20x = 679,869,482.83
  5. Step 5: Solve for x
    x = 679,869,482.83/32,643.20
  6. Step 6: Final answer
    x = 20,827.30

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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.