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Finding the Fourth Proportional to 64,149.12, 96,223.68 and 17,402

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Solution

The fourth proportional to 64,149.12, 96,223.68 and 17,402 is: 26,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,149.12 : 96,223.68 = 17,402 : x
  2. Step 2: Convert to fraction form
    64,149.12/96,223.68 = 17,402/x
  3. Step 3: Cross multiply
    64,149.12x = 96,223.68 × 17,402
  4. Step 4: Simplify right side
    64,149.12x = 1,674,484,479.36
  5. Step 5: Solve for x
    x = 1,674,484,479.36/64,149.12
  6. Step 6: Final answer
    x = 26,103.00

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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.