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Finding the Fourth Proportional to 32,153.76, 48,233.07 and 8,777.16

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Solution

The fourth proportional to 32,153.76, 48,233.07 and 8,777.16 is: 13,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.76 : 48,233.07 = 8,777.16 : x
  2. Step 2: Convert to fraction form
    32,153.76/48,233.07 = 8,777.16/x
  3. Step 3: Cross multiply
    32,153.76x = 48,233.07 × 8,777.16
  4. Step 4: Simplify right side
    32,153.76x = 423,349,372.68
  5. Step 5: Solve for x
    x = 423,349,372.68/32,153.76
  6. Step 6: Final answer
    x = 13,166.40

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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.