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Finding the Fourth Proportional to 76,356, 105,371.34 and 42,822

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Solution

The fourth proportional to 76,356, 105,371.34 and 42,822 is: 59,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356 : 105,371.34 = 42,822 : x
  2. Step 2: Convert to fraction form
    76,356/105,371.34 = 42,822/x
  3. Step 3: Cross multiply
    76,356x = 105,371.34 × 42,822
  4. Step 4: Simplify right side
    76,356x = 4,512,211,521.48
  5. Step 5: Solve for x
    x = 4,512,211,521.48/76,356
  6. Step 6: Final answer
    x = 59,094.39

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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.