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Finding the Fourth Proportional to 116,048.84, 174,085.38 and 49,496

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Solution

The fourth proportional to 116,048.84, 174,085.38 and 49,496 is: 74,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,048.84 : 174,085.38 = 49,496 : x
  2. Step 2: Convert to fraction form
    116,048.84/174,085.38 = 49,496/x
  3. Step 3: Cross multiply
    116,048.84x = 174,085.38 × 49,496
  4. Step 4: Simplify right side
    116,048.84x = 8,616,529,968.48
  5. Step 5: Solve for x
    x = 8,616,529,968.48/116,048.84
  6. Step 6: Final answer
    x = 74,249.17

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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.