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Finding the Fourth Proportional to 75,587, 104,310.12 and 42,053

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Solution

The fourth proportional to 75,587, 104,310.12 and 42,053 is: 58,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,587 : 104,310.12 = 42,053 : x
  2. Step 2: Convert to fraction form
    75,587/104,310.12 = 42,053/x
  3. Step 3: Cross multiply
    75,587x = 104,310.12 × 42,053
  4. Step 4: Simplify right side
    75,587x = 4,386,553,476.36
  5. Step 5: Solve for x
    x = 4,386,553,476.36/75,587
  6. Step 6: Final answer
    x = 58,033.17

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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.