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Finding the Fourth Proportional to 38,175, 57,263.58 and 10,473

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Solution

The fourth proportional to 38,175, 57,263.58 and 10,473 is: 15,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175 : 57,263.58 = 10,473 : x
  2. Step 2: Convert to fraction form
    38,175/57,263.58 = 10,473/x
  3. Step 3: Cross multiply
    38,175x = 57,263.58 × 10,473
  4. Step 4: Simplify right side
    38,175x = 599,721,473.34
  5. Step 5: Solve for x
    x = 599,721,473.34/38,175
  6. Step 6: Final answer
    x = 15,709.80

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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.