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Finding the Fourth Proportional to 43,106.80, 59,526.48 and 32,478

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Solution

The fourth proportional to 43,106.80, 59,526.48 and 32,478 is: 44,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,106.80 : 59,526.48 = 32,478 : x
  2. Step 2: Convert to fraction form
    43,106.80/59,526.48 = 32,478/x
  3. Step 3: Cross multiply
    43,106.80x = 59,526.48 × 32,478
  4. Step 4: Simplify right side
    43,106.80x = 1,933,301,017.44
  5. Step 5: Solve for x
    x = 1,933,301,017.44/43,106.80
  6. Step 6: Final answer
    x = 44,849.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.