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Finding the Fourth Proportional to 70,923.30, 106,543.35 and 59,259.30

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Solution

The fourth proportional to 70,923.30, 106,543.35 and 59,259.30 is: 89,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,923.30 : 106,543.35 = 59,259.30 : x
  2. Step 2: Convert to fraction form
    70,923.30/106,543.35 = 59,259.30/x
  3. Step 3: Cross multiply
    70,923.30x = 106,543.35 × 59,259.30
  4. Step 4: Simplify right side
    70,923.30x = 6,313,684,340.66
  5. Step 5: Solve for x
    x = 6,313,684,340.66/70,923.30
  6. Step 6: Final answer
    x = 89,021.30

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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.