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Finding the Fourth Proportional to 32,117.70, 48,176.55 and 30,659.70

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Solution

The fourth proportional to 32,117.70, 48,176.55 and 30,659.70 is: 45,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.70 : 48,176.55 = 30,659.70 : x
  2. Step 2: Convert to fraction form
    32,117.70/48,176.55 = 30,659.70/x
  3. Step 3: Cross multiply
    32,117.70x = 48,176.55 × 30,659.70
  4. Step 4: Simplify right side
    32,117.70x = 1,477,078,570.04
  5. Step 5: Solve for x
    x = 1,477,078,570.04/32,117.70
  6. Step 6: Final answer
    x = 45,989.55

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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.