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Finding the Fourth Proportional to 66,199, 99,297.64 and 16,279.53

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Solution

The fourth proportional to 66,199, 99,297.64 and 16,279.53 is: 24,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,199 : 99,297.64 = 16,279.53 : x
  2. Step 2: Convert to fraction form
    66,199/99,297.64 = 16,279.53/x
  3. Step 3: Cross multiply
    66,199x = 99,297.64 × 16,279.53
  4. Step 4: Simplify right side
    66,199x = 1,616,518,909.31
  5. Step 5: Solve for x
    x = 1,616,518,909.31/66,199
  6. Step 6: Final answer
    x = 24,419.08

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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.