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Finding the Fourth Proportional to 34,169.60, 51,254.40 and 31,966.40

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Solution

The fourth proportional to 34,169.60, 51,254.40 and 31,966.40 is: 47,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,169.60 : 51,254.40 = 31,966.40 : x
  2. Step 2: Convert to fraction form
    34,169.60/51,254.40 = 31,966.40/x
  3. Step 3: Cross multiply
    34,169.60x = 51,254.40 × 31,966.40
  4. Step 4: Simplify right side
    34,169.60x = 1,638,418,652.16
  5. Step 5: Solve for x
    x = 1,638,418,652.16/34,169.60
  6. Step 6: Final answer
    x = 47,949.60

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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.