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Finding the Fourth Proportional to 38,478.63, 53,122.58 and 29,332.17

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Solution

The fourth proportional to 38,478.63, 53,122.58 and 29,332.17 is: 40,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.63 : 53,122.58 = 29,332.17 : x
  2. Step 2: Convert to fraction form
    38,478.63/53,122.58 = 29,332.17/x
  3. Step 3: Cross multiply
    38,478.63x = 53,122.58 × 29,332.17
  4. Step 4: Simplify right side
    38,478.63x = 1,558,200,400.74
  5. Step 5: Solve for x
    x = 1,558,200,400.74/38,478.63
  6. Step 6: Final answer
    x = 40,495.22

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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.