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Finding the Fourth Proportional to 32,101.60, 48,152.40 and 28,213.60

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Solution

The fourth proportional to 32,101.60, 48,152.40 and 28,213.60 is: 42,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.60 : 48,152.40 = 28,213.60 : x
  2. Step 2: Convert to fraction form
    32,101.60/48,152.40 = 28,213.60/x
  3. Step 3: Cross multiply
    32,101.60x = 48,152.40 × 28,213.60
  4. Step 4: Simplify right side
    32,101.60x = 1,358,552,552.64
  5. Step 5: Solve for x
    x = 1,358,552,552.64/32,101.60
  6. Step 6: Final answer
    x = 42,320.40

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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.