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Finding the Fourth Proportional to 75,565.65, 113,352.54 and 22,971.15

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Solution

The fourth proportional to 75,565.65, 113,352.54 and 22,971.15 is: 34,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,565.65 : 113,352.54 = 22,971.15 : x
  2. Step 2: Convert to fraction form
    75,565.65/113,352.54 = 22,971.15/x
  3. Step 3: Cross multiply
    75,565.65x = 113,352.54 × 22,971.15
  4. Step 4: Simplify right side
    75,565.65x = 2,603,838,199.22
  5. Step 5: Solve for x
    x = 2,603,838,199.22/75,565.65
  6. Step 6: Final answer
    x = 34,457.96

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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.