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Finding the Fourth Proportional to 32,493.40, 48,624.90 and 22,125.40

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Solution

The fourth proportional to 32,493.40, 48,624.90 and 22,125.40 is: 33,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.40 : 48,624.90 = 22,125.40 : x
  2. Step 2: Convert to fraction form
    32,493.40/48,624.90 = 22,125.40/x
  3. Step 3: Cross multiply
    32,493.40x = 48,624.90 × 22,125.40
  4. Step 4: Simplify right side
    32,493.40x = 1,075,845,362.46
  5. Step 5: Solve for x
    x = 1,075,845,362.46/32,493.40
  6. Step 6: Final answer
    x = 33,109.66

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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.