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Finding the Fourth Proportional to 108,716.76, 163,069.74 and 29,831.40

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Solution

The fourth proportional to 108,716.76, 163,069.74 and 29,831.40 is: 44,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,716.76 : 163,069.74 = 29,831.40 : x
  2. Step 2: Convert to fraction form
    108,716.76/163,069.74 = 29,831.40/x
  3. Step 3: Cross multiply
    108,716.76x = 163,069.74 × 29,831.40
  4. Step 4: Simplify right side
    108,716.76x = 4,864,598,641.84
  5. Step 5: Solve for x
    x = 4,864,598,641.84/108,716.76
  6. Step 6: Final answer
    x = 44,745.62

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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.