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Finding the Fourth Proportional to 53,668.76, 74,065.28 and 29,795.76

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Solution

The fourth proportional to 53,668.76, 74,065.28 and 29,795.76 is: 41,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,668.76 : 74,065.28 = 29,795.76 : x
  2. Step 2: Convert to fraction form
    53,668.76/74,065.28 = 29,795.76/x
  3. Step 3: Cross multiply
    53,668.76x = 74,065.28 × 29,795.76
  4. Step 4: Simplify right side
    53,668.76x = 2,206,831,307.21
  5. Step 5: Solve for x
    x = 2,206,831,307.21/53,668.76
  6. Step 6: Final answer
    x = 41,119.48

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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.