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Finding the Fourth Proportional to 115,565, 173,347.54 and 32,459

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Solution

The fourth proportional to 115,565, 173,347.54 and 32,459 is: 48,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,565 : 173,347.54 = 32,459 : x
  2. Step 2: Convert to fraction form
    115,565/173,347.54 = 32,459/x
  3. Step 3: Cross multiply
    115,565x = 173,347.54 × 32,459
  4. Step 4: Simplify right side
    115,565x = 5,626,687,800.86
  5. Step 5: Solve for x
    x = 5,626,687,800.86/115,565
  6. Step 6: Final answer
    x = 48,688.51

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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.