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Finding the Fourth Proportional to 32,113.30, 48,410.65 and 29,972.50

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Solution

The fourth proportional to 32,113.30, 48,410.65 and 29,972.50 is: 45,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.30 : 48,410.65 = 29,972.50 : x
  2. Step 2: Convert to fraction form
    32,113.30/48,410.65 = 29,972.50/x
  3. Step 3: Cross multiply
    32,113.30x = 48,410.65 × 29,972.50
  4. Step 4: Simplify right side
    32,113.30x = 1,450,988,207.13
  5. Step 5: Solve for x
    x = 1,450,988,207.13/32,113.30
  6. Step 6: Final answer
    x = 45,183.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.