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Finding the Fourth Proportional to 92,901.60, 139,371.84 and 30,564

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Solution

The fourth proportional to 92,901.60, 139,371.84 and 30,564 is: 45,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,901.60 : 139,371.84 = 30,564 : x
  2. Step 2: Convert to fraction form
    92,901.60/139,371.84 = 30,564/x
  3. Step 3: Cross multiply
    92,901.60x = 139,371.84 × 30,564
  4. Step 4: Simplify right side
    92,901.60x = 4,259,760,917.76
  5. Step 5: Solve for x
    x = 4,259,760,917.76/92,901.60
  6. Step 6: Final answer
    x = 45,852.40

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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.