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Finding the Fourth Proportional to 65,152.60, 97,739.70 and 27,730.60

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Solution

The fourth proportional to 65,152.60, 97,739.70 and 27,730.60 is: 41,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.60 : 97,739.70 = 27,730.60 : x
  2. Step 2: Convert to fraction form
    65,152.60/97,739.70 = 27,730.60/x
  3. Step 3: Cross multiply
    65,152.60x = 97,739.70 × 27,730.60
  4. Step 4: Simplify right side
    65,152.60x = 2,710,380,524.82
  5. Step 5: Solve for x
    x = 2,710,380,524.82/65,152.60
  6. Step 6: Final answer
    x = 41,600.50

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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.