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Finding the Fourth Proportional to 38,708.64, 53,416.02 and 21,710.76

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Solution

The fourth proportional to 38,708.64, 53,416.02 and 21,710.76 is: 29,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.64 : 53,416.02 = 21,710.76 : x
  2. Step 2: Convert to fraction form
    38,708.64/53,416.02 = 21,710.76/x
  3. Step 3: Cross multiply
    38,708.64x = 53,416.02 × 21,710.76
  4. Step 4: Simplify right side
    38,708.64x = 1,159,702,390.38
  5. Step 5: Solve for x
    x = 1,159,702,390.38/38,708.64
  6. Step 6: Final answer
    x = 29,959.78

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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.