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Finding the Fourth Proportional to 39,175, 58,762.50 and 11,473.24

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Solution

The fourth proportional to 39,175, 58,762.50 and 11,473.24 is: 17,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,175 : 58,762.50 = 11,473.24 : x
  2. Step 2: Convert to fraction form
    39,175/58,762.50 = 11,473.24/x
  3. Step 3: Cross multiply
    39,175x = 58,762.50 × 11,473.24
  4. Step 4: Simplify right side
    39,175x = 674,196,265.50
  5. Step 5: Solve for x
    x = 674,196,265.50/39,175
  6. Step 6: Final answer
    x = 17,209.86

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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.