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Finding the Fourth Proportional to 76,047.66, 104,946.45 and 42,058.44

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Solution

The fourth proportional to 76,047.66, 104,946.45 and 42,058.44 is: 58,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,047.66 : 104,946.45 = 42,058.44 : x
  2. Step 2: Convert to fraction form
    76,047.66/104,946.45 = 42,058.44/x
  3. Step 3: Cross multiply
    76,047.66x = 104,946.45 × 42,058.44
  4. Step 4: Simplify right side
    76,047.66x = 4,413,883,970.54
  5. Step 5: Solve for x
    x = 4,413,883,970.54/76,047.66
  6. Step 6: Final answer
    x = 58,041.02

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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.