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Finding the Fourth Proportional to 32,129.99, 48,193.78 and 8,437.32

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Solution

The fourth proportional to 32,129.99, 48,193.78 and 8,437.32 is: 12,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.99 : 48,193.78 = 8,437.32 : x
  2. Step 2: Convert to fraction form
    32,129.99/48,193.78 = 8,437.32/x
  3. Step 3: Cross multiply
    32,129.99x = 48,193.78 × 8,437.32
  4. Step 4: Simplify right side
    32,129.99x = 406,626,343.87
  5. Step 5: Solve for x
    x = 406,626,343.87/32,129.99
  6. Step 6: Final answer
    x = 12,655.66

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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.