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Finding the Fourth Proportional to 38,476.71, 53,119.92 and 29,330.25

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Solution

The fourth proportional to 38,476.71, 53,119.92 and 29,330.25 is: 40,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.71 : 53,119.92 = 29,330.25 : x
  2. Step 2: Convert to fraction form
    38,476.71/53,119.92 = 29,330.25/x
  3. Step 3: Cross multiply
    38,476.71x = 53,119.92 × 29,330.25
  4. Step 4: Simplify right side
    38,476.71x = 1,558,020,533.58
  5. Step 5: Solve for x
    x = 1,558,020,533.58/38,476.71
  6. Step 6: Final answer
    x = 40,492.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.