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Finding the Fourth Proportional to 74,097.91, 102,254.16 and 42,267.34

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Solution

The fourth proportional to 74,097.91, 102,254.16 and 42,267.34 is: 58,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.91 : 102,254.16 = 42,267.34 : x
  2. Step 2: Convert to fraction form
    74,097.91/102,254.16 = 42,267.34/x
  3. Step 3: Cross multiply
    74,097.91x = 102,254.16 × 42,267.34
  4. Step 4: Simplify right side
    74,097.91x = 4,322,011,347.13
  5. Step 5: Solve for x
    x = 4,322,011,347.13/74,097.91
  6. Step 6: Final answer
    x = 58,328.38

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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.