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Finding the Fourth Proportional to 34,841.60, 52,262.40 and 16,409.60

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Solution

The fourth proportional to 34,841.60, 52,262.40 and 16,409.60 is: 24,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,841.60 : 52,262.40 = 16,409.60 : x
  2. Step 2: Convert to fraction form
    34,841.60/52,262.40 = 16,409.60/x
  3. Step 3: Cross multiply
    34,841.60x = 52,262.40 × 16,409.60
  4. Step 4: Simplify right side
    34,841.60x = 857,605,079.04
  5. Step 5: Solve for x
    x = 857,605,079.04/34,841.60
  6. Step 6: Final answer
    x = 24,614.40

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1.5x scale

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.