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Finding the Fourth Proportional to 70,568.76, 105,871.32 and 26,208.12

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Solution

The fourth proportional to 70,568.76, 105,871.32 and 26,208.12 is: 39,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,568.76 : 105,871.32 = 26,208.12 : x
  2. Step 2: Convert to fraction form
    70,568.76/105,871.32 = 26,208.12/x
  3. Step 3: Cross multiply
    70,568.76x = 105,871.32 × 26,208.12
  4. Step 4: Simplify right side
    70,568.76x = 2,774,688,259.12
  5. Step 5: Solve for x
    x = 2,774,688,259.12/70,568.76
  6. Step 6: Final answer
    x = 39,318.93

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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.