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Finding the Fourth Proportional to 32,741.60, 49,112.40 and 8,117.60

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Solution

The fourth proportional to 32,741.60, 49,112.40 and 8,117.60 is: 12,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,741.60 : 49,112.40 = 8,117.60 : x
  2. Step 2: Convert to fraction form
    32,741.60/49,112.40 = 8,117.60/x
  3. Step 3: Cross multiply
    32,741.60x = 49,112.40 × 8,117.60
  4. Step 4: Simplify right side
    32,741.60x = 398,674,818.24
  5. Step 5: Solve for x
    x = 398,674,818.24/32,741.60
  6. Step 6: Final answer
    x = 12,176.40

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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.