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Finding the Fourth Proportional to 70,483.64, 105,724 and 17,175.92

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Solution

The fourth proportional to 70,483.64, 105,724 and 17,175.92 is: 25,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,483.64 : 105,724 = 17,175.92 : x
  2. Step 2: Convert to fraction form
    70,483.64/105,724 = 17,175.92/x
  3. Step 3: Cross multiply
    70,483.64x = 105,724 × 17,175.92
  4. Step 4: Simplify right side
    70,483.64x = 1,815,906,966.08
  5. Step 5: Solve for x
    x = 1,815,906,966.08/70,483.64
  6. Step 6: Final answer
    x = 25,763.52

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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.