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Finding the Fourth Proportional to 65,323.80, 97,985.70 and 52,201.80

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Solution

The fourth proportional to 65,323.80, 97,985.70 and 52,201.80 is: 78,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,323.80 : 97,985.70 = 52,201.80 : x
  2. Step 2: Convert to fraction form
    65,323.80/97,985.70 = 52,201.80/x
  3. Step 3: Cross multiply
    65,323.80x = 97,985.70 × 52,201.80
  4. Step 4: Simplify right side
    65,323.80x = 5,115,029,914.26
  5. Step 5: Solve for x
    x = 5,115,029,914.26/65,323.80
  6. Step 6: Final answer
    x = 78,302.70

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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.