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Finding the Fourth Proportional to 38,421.66, 53,020.24 and 28,346.47

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Solution

The fourth proportional to 38,421.66, 53,020.24 and 28,346.47 is: 39,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.66 : 53,020.24 = 28,346.47 : x
  2. Step 2: Convert to fraction form
    38,421.66/53,020.24 = 28,346.47/x
  3. Step 3: Cross multiply
    38,421.66x = 53,020.24 × 28,346.47
  4. Step 4: Simplify right side
    38,421.66x = 1,502,936,642.55
  5. Step 5: Solve for x
    x = 1,502,936,642.55/38,421.66
  6. Step 6: Final answer
    x = 39,116.91

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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.