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Finding the Fourth Proportional to 65,415.48, 97,983.72 and 49,444.44

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Solution

The fourth proportional to 65,415.48, 97,983.72 and 49,444.44 is: 74,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,415.48 : 97,983.72 = 49,444.44 : x
  2. Step 2: Convert to fraction form
    65,415.48/97,983.72 = 49,444.44/x
  3. Step 3: Cross multiply
    65,415.48x = 97,983.72 × 49,444.44
  4. Step 4: Simplify right side
    65,415.48x = 4,844,750,164.52
  5. Step 5: Solve for x
    x = 4,844,750,164.52/65,415.48
  6. Step 6: Final answer
    x = 74,061.22

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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.