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Finding the Fourth Proportional to 38,567.68, 53,216.64 and 23,668.48

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Solution

The fourth proportional to 38,567.68, 53,216.64 and 23,668.48 is: 32,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567.68 : 53,216.64 = 23,668.48 : x
  2. Step 2: Convert to fraction form
    38,567.68/53,216.64 = 23,668.48/x
  3. Step 3: Cross multiply
    38,567.68x = 53,216.64 × 23,668.48
  4. Step 4: Simplify right side
    38,567.68x = 1,259,556,979.51
  5. Step 5: Solve for x
    x = 1,259,556,979.51/38,567.68
  6. Step 6: Final answer
    x = 32,658.35

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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.