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Finding the Fourth Proportional to 74,175.84, 102,421.32 and 68,508.32

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Solution

The fourth proportional to 74,175.84, 102,421.32 and 68,508.32 is: 94,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175.84 : 102,421.32 = 68,508.32 : x
  2. Step 2: Convert to fraction form
    74,175.84/102,421.32 = 68,508.32/x
  3. Step 3: Cross multiply
    74,175.84x = 102,421.32 × 68,508.32
  4. Step 4: Simplify right side
    74,175.84x = 7,016,712,565.38
  5. Step 5: Solve for x
    x = 7,016,712,565.38/74,175.84
  6. Step 6: Final answer
    x = 94,595.66

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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.