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Finding the Fourth Proportional to 74,967.37, 112,482.14 and 32,825.70

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Solution

The fourth proportional to 74,967.37, 112,482.14 and 32,825.70 is: 49,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,967.37 : 112,482.14 = 32,825.70 : x
  2. Step 2: Convert to fraction form
    74,967.37/112,482.14 = 32,825.70/x
  3. Step 3: Cross multiply
    74,967.37x = 112,482.14 × 32,825.70
  4. Step 4: Simplify right side
    74,967.37x = 3,692,304,818.87
  5. Step 5: Solve for x
    x = 3,692,304,818.87/74,967.37
  6. Step 6: Final answer
    x = 49,252.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.