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Finding the Fourth Proportional to 32,654.72, 48,977.16 and 10,465.76

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Solution

The fourth proportional to 32,654.72, 48,977.16 and 10,465.76 is: 15,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.72 : 48,977.16 = 10,465.76 : x
  2. Step 2: Convert to fraction form
    32,654.72/48,977.16 = 10,465.76/x
  3. Step 3: Cross multiply
    32,654.72x = 48,977.16 × 10,465.76
  4. Step 4: Simplify right side
    32,654.72x = 512,583,202.04
  5. Step 5: Solve for x
    x = 512,583,202.04/32,654.72
  6. Step 6: Final answer
    x = 15,697.06

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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.