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Finding the Fourth Proportional to 67,838.31, 93,585.38 and 42,328.17

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Solution

The fourth proportional to 67,838.31, 93,585.38 and 42,328.17 is: 58,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838.31 : 93,585.38 = 42,328.17 : x
  2. Step 2: Convert to fraction form
    67,838.31/93,585.38 = 42,328.17/x
  3. Step 3: Cross multiply
    67,838.31x = 93,585.38 × 42,328.17
  4. Step 4: Simplify right side
    67,838.31x = 3,961,297,662.51
  5. Step 5: Solve for x
    x = 3,961,297,662.51/67,838.31
  6. Step 6: Final answer
    x = 58,393.22

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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.