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Finding the Fourth Proportional to 32,476.40, 48,717.71 and 9,102.77

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Solution

The fourth proportional to 32,476.40, 48,717.71 and 9,102.77 is: 13,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.40 : 48,717.71 = 9,102.77 : x
  2. Step 2: Convert to fraction form
    32,476.40/48,717.71 = 9,102.77/x
  3. Step 3: Cross multiply
    32,476.40x = 48,717.71 × 9,102.77
  4. Step 4: Simplify right side
    32,476.40x = 443,466,336.42
  5. Step 5: Solve for x
    x = 443,466,336.42/32,476.40
  6. Step 6: Final answer
    x = 13,655.03

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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.