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Finding the Fourth Proportional to 65,205.81, 97,841.52 and 48,599.19

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Solution

The fourth proportional to 65,205.81, 97,841.52 and 48,599.19 is: 72,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.81 : 97,841.52 = 48,599.19 : x
  2. Step 2: Convert to fraction form
    65,205.81/97,841.52 = 48,599.19/x
  3. Step 3: Cross multiply
    65,205.81x = 97,841.52 × 48,599.19
  4. Step 4: Simplify right side
    65,205.81x = 4,755,018,620.37
  5. Step 5: Solve for x
    x = 4,755,018,620.37/65,205.81
  6. Step 6: Final answer
    x = 72,923.24

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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.