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Finding the Fourth Proportional to 66,455.25, 99,712.25 and 34,857.77

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Solution

The fourth proportional to 66,455.25, 99,712.25 and 34,857.77 is: 52,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,455.25 : 99,712.25 = 34,857.77 : x
  2. Step 2: Convert to fraction form
    66,455.25/99,712.25 = 34,857.77/x
  3. Step 3: Cross multiply
    66,455.25x = 99,712.25 × 34,857.77
  4. Step 4: Simplify right side
    66,455.25x = 3,475,746,003.83
  5. Step 5: Solve for x
    x = 3,475,746,003.83/66,455.25
  6. Step 6: Final answer
    x = 52,302.05

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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.