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Finding the Fourth Proportional to 65,115, 97,513.20 and 58,804.20

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Solution

The fourth proportional to 65,115, 97,513.20 and 58,804.20 is: 88,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115 : 97,513.20 = 58,804.20 : x
  2. Step 2: Convert to fraction form
    65,115/97,513.20 = 58,804.20/x
  3. Step 3: Cross multiply
    65,115x = 97,513.20 × 58,804.20
  4. Step 4: Simplify right side
    65,115x = 5,734,185,715.44
  5. Step 5: Solve for x
    x = 5,734,185,715.44/65,115
  6. Step 6: Final answer
    x = 88,062.44

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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.