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Finding the Fourth Proportional to 109,560.78, 164,341.14 and 35,688.78

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Solution

The fourth proportional to 109,560.78, 164,341.14 and 35,688.78 is: 53,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,560.78 : 164,341.14 = 35,688.78 : x
  2. Step 2: Convert to fraction form
    109,560.78/164,341.14 = 35,688.78/x
  3. Step 3: Cross multiply
    109,560.78x = 164,341.14 × 35,688.78
  4. Step 4: Simplify right side
    109,560.78x = 5,865,134,790.41
  5. Step 5: Solve for x
    x = 5,865,134,790.41/109,560.78
  6. Step 6: Final answer
    x = 53,533.16

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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.