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Finding the Fourth Proportional to 32,159.80, 48,272.10 and 15,533.20

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Solution

The fourth proportional to 32,159.80, 48,272.10 and 15,533.20 is: 23,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.80 : 48,272.10 = 15,533.20 : x
  2. Step 2: Convert to fraction form
    32,159.80/48,272.10 = 15,533.20/x
  3. Step 3: Cross multiply
    32,159.80x = 48,272.10 × 15,533.20
  4. Step 4: Simplify right side
    32,159.80x = 749,820,183.72
  5. Step 5: Solve for x
    x = 749,820,183.72/32,159.80
  6. Step 6: Final answer
    x = 23,315.45

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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.