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Finding the Fourth Proportional to 38,483.88, 53,122.14 and 29,969.16

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Solution

The fourth proportional to 38,483.88, 53,122.14 and 29,969.16 is: 41,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,483.88 : 53,122.14 = 29,969.16 : x
  2. Step 2: Convert to fraction form
    38,483.88/53,122.14 = 29,969.16/x
  3. Step 3: Cross multiply
    38,483.88x = 53,122.14 × 29,969.16
  4. Step 4: Simplify right side
    38,483.88x = 1,592,025,913.20
  5. Step 5: Solve for x
    x = 1,592,025,913.20/38,483.88
  6. Step 6: Final answer
    x = 41,368.64

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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.