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Finding the Fourth Proportional to 65,242.77, 97,907.94 and 23,689.77

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Solution

The fourth proportional to 65,242.77, 97,907.94 and 23,689.77 is: 35,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.77 : 97,907.94 = 23,689.77 : x
  2. Step 2: Convert to fraction form
    65,242.77/97,907.94 = 23,689.77/x
  3. Step 3: Cross multiply
    65,242.77x = 97,907.94 × 23,689.77
  4. Step 4: Simplify right side
    65,242.77x = 2,319,416,579.77
  5. Step 5: Solve for x
    x = 2,319,416,579.77/65,242.77
  6. Step 6: Final answer
    x = 35,550.55

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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.