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Finding the Fourth Proportional to 74,765.84, 103,192.86 and 42,952.28

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Solution

The fourth proportional to 74,765.84, 103,192.86 and 42,952.28 is: 59,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,765.84 : 103,192.86 = 42,952.28 : x
  2. Step 2: Convert to fraction form
    74,765.84/103,192.86 = 42,952.28/x
  3. Step 3: Cross multiply
    74,765.84x = 103,192.86 × 42,952.28
  4. Step 4: Simplify right side
    74,765.84x = 4,432,368,100.76
  5. Step 5: Solve for x
    x = 4,432,368,100.76/74,765.84
  6. Step 6: Final answer
    x = 59,283.34

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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.