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Finding the Fourth Proportional to 65,148.51, 97,737.12 and 37,081.79

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Solution

The fourth proportional to 65,148.51, 97,737.12 and 37,081.79 is: 55,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.51 : 97,737.12 = 37,081.79 : x
  2. Step 2: Convert to fraction form
    65,148.51/97,737.12 = 37,081.79/x
  3. Step 3: Cross multiply
    65,148.51x = 97,737.12 × 37,081.79
  4. Step 4: Simplify right side
    65,148.51x = 3,624,267,236.87
  5. Step 5: Solve for x
    x = 3,624,267,236.87/65,148.51
  6. Step 6: Final answer
    x = 55,630.85

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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.