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Finding the Fourth Proportional to 32,666.83, 49,000.52 and 10,480.24

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Solution

The fourth proportional to 32,666.83, 49,000.52 and 10,480.24 is: 15,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.83 : 49,000.52 = 10,480.24 : x
  2. Step 2: Convert to fraction form
    32,666.83/49,000.52 = 10,480.24/x
  3. Step 3: Cross multiply
    32,666.83x = 49,000.52 × 10,480.24
  4. Step 4: Simplify right side
    32,666.83x = 513,537,209.72
  5. Step 5: Solve for x
    x = 513,537,209.72/32,666.83
  6. Step 6: Final answer
    x = 15,720.45

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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.