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Finding the Fourth Proportional to 53,710.71, 74,052.63 and 38,415.67

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Solution

The fourth proportional to 53,710.71, 74,052.63 and 38,415.67 is: 52,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.71 : 74,052.63 = 38,415.67 : x
  2. Step 2: Convert to fraction form
    53,710.71/74,052.63 = 38,415.67/x
  3. Step 3: Cross multiply
    53,710.71x = 74,052.63 × 38,415.67
  4. Step 4: Simplify right side
    53,710.71x = 2,844,781,396.71
  5. Step 5: Solve for x
    x = 2,844,781,396.71/53,710.71
  6. Step 6: Final answer
    x = 52,964.88

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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.