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Finding the Fourth Proportional to 75,008.40, 112,496.40 and 32,888.40

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Solution

The fourth proportional to 75,008.40, 112,496.40 and 32,888.40 is: 49,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008.40 : 112,496.40 = 32,888.40 : x
  2. Step 2: Convert to fraction form
    75,008.40/112,496.40 = 32,888.40/x
  3. Step 3: Cross multiply
    75,008.40x = 112,496.40 × 32,888.40
  4. Step 4: Simplify right side
    75,008.40x = 3,699,826,601.76
  5. Step 5: Solve for x
    x = 3,699,826,601.76/75,008.40
  6. Step 6: Final answer
    x = 49,325.50

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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.