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Finding the Fourth Proportional to 30,306, 41,828.04 and 17,058

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Solution

The fourth proportional to 30,306, 41,828.04 and 17,058 is: 23,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306 : 41,828.04 = 17,058 : x
  2. Step 2: Convert to fraction form
    30,306/41,828.04 = 17,058/x
  3. Step 3: Cross multiply
    30,306x = 41,828.04 × 17,058
  4. Step 4: Simplify right side
    30,306x = 713,502,706.32
  5. Step 5: Solve for x
    x = 713,502,706.32/30,306
  6. Step 6: Final answer
    x = 23,543.28

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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.