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Finding the Fourth Proportional to 38,696.64, 53,532 and 37,296.96

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Solution

The fourth proportional to 38,696.64, 53,532 and 37,296.96 is: 51,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.64 : 53,532 = 37,296.96 : x
  2. Step 2: Convert to fraction form
    38,696.64/53,532 = 37,296.96/x
  3. Step 3: Cross multiply
    38,696.64x = 53,532 × 37,296.96
  4. Step 4: Simplify right side
    38,696.64x = 1,996,580,862.72
  5. Step 5: Solve for x
    x = 1,996,580,862.72/38,696.64
  6. Step 6: Final answer
    x = 51,595.72

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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.