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Finding the Fourth Proportional to 66,142.51, 99,228.65 and 21,767.67

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Solution

The fourth proportional to 66,142.51, 99,228.65 and 21,767.67 is: 32,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142.51 : 99,228.65 = 21,767.67 : x
  2. Step 2: Convert to fraction form
    66,142.51/99,228.65 = 21,767.67/x
  3. Step 3: Cross multiply
    66,142.51x = 99,228.65 × 21,767.67
  4. Step 4: Simplify right side
    66,142.51x = 2,159,976,398.91
  5. Step 5: Solve for x
    x = 2,159,976,398.91/66,142.51
  6. Step 6: Final answer
    x = 32,656.40

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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.