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Finding the Fourth Proportional to 65,875.16, 90,907.11 and 35,659.71

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Solution

The fourth proportional to 65,875.16, 90,907.11 and 35,659.71 is: 49,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,875.16 : 90,907.11 = 35,659.71 : x
  2. Step 2: Convert to fraction form
    65,875.16/90,907.11 = 35,659.71/x
  3. Step 3: Cross multiply
    65,875.16x = 90,907.11 × 35,659.71
  4. Step 4: Simplify right side
    65,875.16x = 3,241,720,546.70
  5. Step 5: Solve for x
    x = 3,241,720,546.70/65,875.16
  6. Step 6: Final answer
    x = 49,210.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.