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Finding the Fourth Proportional to 64,284.30, 96,351.93 and 38,011.14

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Solution

The fourth proportional to 64,284.30, 96,351.93 and 38,011.14 is: 56,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284.30 : 96,351.93 = 38,011.14 : x
  2. Step 2: Convert to fraction form
    64,284.30/96,351.93 = 38,011.14/x
  3. Step 3: Cross multiply
    64,284.30x = 96,351.93 × 38,011.14
  4. Step 4: Simplify right side
    64,284.30x = 3,662,446,700.50
  5. Step 5: Solve for x
    x = 3,662,446,700.50/64,284.30
  6. Step 6: Final answer
    x = 56,972.65

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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.