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Finding the Fourth Proportional to 30,909.60, 46,364.40 and 16,864.20

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Solution

The fourth proportional to 30,909.60, 46,364.40 and 16,864.20 is: 25,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.60 : 46,364.40 = 16,864.20 : x
  2. Step 2: Convert to fraction form
    30,909.60/46,364.40 = 16,864.20/x
  3. Step 3: Cross multiply
    30,909.60x = 46,364.40 × 16,864.20
  4. Step 4: Simplify right side
    30,909.60x = 781,898,514.48
  5. Step 5: Solve for x
    x = 781,898,514.48/30,909.60
  6. Step 6: Final answer
    x = 25,296.30

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