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Finding the Fourth Proportional to 106,627.50, 159,894.63 and 56,695.50

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Solution

The fourth proportional to 106,627.50, 159,894.63 and 56,695.50 is: 85,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,627.50 : 159,894.63 = 56,695.50 : x
  2. Step 2: Convert to fraction form
    106,627.50/159,894.63 = 56,695.50/x
  3. Step 3: Cross multiply
    106,627.50x = 159,894.63 × 56,695.50
  4. Step 4: Simplify right side
    106,627.50x = 9,065,305,995.17
  5. Step 5: Solve for x
    x = 9,065,305,995.17/106,627.50
  6. Step 6: Final answer
    x = 85,018.46

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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.