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Finding the Fourth Proportional to 105,330.49, 157,963.61 and 55,383.49

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Solution

The fourth proportional to 105,330.49, 157,963.61 and 55,383.49 is: 83,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,330.49 : 157,963.61 = 55,383.49 : x
  2. Step 2: Convert to fraction form
    105,330.49/157,963.61 = 55,383.49/x
  3. Step 3: Cross multiply
    105,330.49x = 157,963.61 × 55,383.49
  4. Step 4: Simplify right side
    105,330.49x = 8,748,575,935.34
  5. Step 5: Solve for x
    x = 8,748,575,935.34/105,330.49
  6. Step 6: Final answer
    x = 83,058.34

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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.