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Finding the Fourth Proportional to 32,470.80, 48,641.40 and 16,897.20

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Solution

The fourth proportional to 32,470.80, 48,641.40 and 16,897.20 is: 25,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.80 : 48,641.40 = 16,897.20 : x
  2. Step 2: Convert to fraction form
    32,470.80/48,641.40 = 16,897.20/x
  3. Step 3: Cross multiply
    32,470.80x = 48,641.40 × 16,897.20
  4. Step 4: Simplify right side
    32,470.80x = 821,903,464.08
  5. Step 5: Solve for x
    x = 821,903,464.08/32,470.80
  6. Step 6: Final answer
    x = 25,312.08

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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.