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Finding the Fourth Proportional to 65,237.60, 97,856.40 and 34,068.80

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Solution

The fourth proportional to 65,237.60, 97,856.40 and 34,068.80 is: 51,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237.60 : 97,856.40 = 34,068.80 : x
  2. Step 2: Convert to fraction form
    65,237.60/97,856.40 = 34,068.80/x
  3. Step 3: Cross multiply
    65,237.60x = 97,856.40 × 34,068.80
  4. Step 4: Simplify right side
    65,237.60x = 3,333,850,120.32
  5. Step 5: Solve for x
    x = 3,333,850,120.32/65,237.60
  6. Step 6: Final answer
    x = 51,103.20

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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.