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Finding the Fourth Proportional to 74,154.38, 102,333.04 and 42,322.59

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Solution

The fourth proportional to 74,154.38, 102,333.04 and 42,322.59 is: 58,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154.38 : 102,333.04 = 42,322.59 : x
  2. Step 2: Convert to fraction form
    74,154.38/102,333.04 = 42,322.59/x
  3. Step 3: Cross multiply
    74,154.38x = 102,333.04 × 42,322.59
  4. Step 4: Simplify right side
    74,154.38x = 4,330,999,189.57
  5. Step 5: Solve for x
    x = 4,330,999,189.57/74,154.38
  6. Step 6: Final answer
    x = 58,405.17

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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.