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Finding the Fourth Proportional to 105,593.84, 158,378.46 and 42,411.41

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Solution

The fourth proportional to 105,593.84, 158,378.46 and 42,411.41 is: 63,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,593.84 : 158,378.46 = 42,411.41 : x
  2. Step 2: Convert to fraction form
    105,593.84/158,378.46 = 42,411.41/x
  3. Step 3: Cross multiply
    105,593.84x = 158,378.46 × 42,411.41
  4. Step 4: Simplify right side
    105,593.84x = 6,717,053,802.23
  5. Step 5: Solve for x
    x = 6,717,053,802.23/105,593.84
  6. Step 6: Final answer
    x = 63,612.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.