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Finding the Fourth Proportional to 32,967.61, 49,416.55 and 10,775.03

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Solution

The fourth proportional to 32,967.61, 49,416.55 and 10,775.03 is: 16,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.61 : 49,416.55 = 10,775.03 : x
  2. Step 2: Convert to fraction form
    32,967.61/49,416.55 = 10,775.03/x
  3. Step 3: Cross multiply
    32,967.61x = 49,416.55 × 10,775.03
  4. Step 4: Simplify right side
    32,967.61x = 532,464,534.73
  5. Step 5: Solve for x
    x = 532,464,534.73/32,967.61
  6. Step 6: Final answer
    x = 16,151.14

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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.