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Finding the Fourth Proportional to 65,362.44, 97,952.94 and 34,135.32

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Solution

The fourth proportional to 65,362.44, 97,952.94 and 34,135.32 is: 51,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362.44 : 97,952.94 = 34,135.32 : x
  2. Step 2: Convert to fraction form
    65,362.44/97,952.94 = 34,135.32/x
  3. Step 3: Cross multiply
    65,362.44x = 97,952.94 × 34,135.32
  4. Step 4: Simplify right side
    65,362.44x = 3,343,654,951.84
  5. Step 5: Solve for x
    x = 3,343,654,951.84/65,362.44
  6. Step 6: Final answer
    x = 51,155.60

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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.