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Finding the Fourth Proportional to 96,916, 145,374 and 25,838.88

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Solution

The fourth proportional to 96,916, 145,374 and 25,838.88 is: 38,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,916 : 145,374 = 25,838.88 : x
  2. Step 2: Convert to fraction form
    96,916/145,374 = 25,838.88/x
  3. Step 3: Cross multiply
    96,916x = 145,374 × 25,838.88
  4. Step 4: Simplify right side
    96,916x = 3,756,301,341.12
  5. Step 5: Solve for x
    x = 3,756,301,341.12/96,916
  6. Step 6: Final answer
    x = 38,758.32

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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.