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Finding the Fourth Proportional to 65,252.94, 97,879.98 and 25,810.05

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Solution

The fourth proportional to 65,252.94, 97,879.98 and 25,810.05 is: 38,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.94 : 97,879.98 = 25,810.05 : x
  2. Step 2: Convert to fraction form
    65,252.94/97,879.98 = 25,810.05/x
  3. Step 3: Cross multiply
    65,252.94x = 97,879.98 × 25,810.05
  4. Step 4: Simplify right side
    65,252.94x = 2,526,287,177.80
  5. Step 5: Solve for x
    x = 2,526,287,177.80/65,252.94
  6. Step 6: Final answer
    x = 38,715.30

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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.