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Finding the Fourth Proportional to 58,478.74, 80,695.76 and 34,601.26

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Solution

The fourth proportional to 58,478.74, 80,695.76 and 34,601.26 is: 47,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,478.74 : 80,695.76 = 34,601.26 : x
  2. Step 2: Convert to fraction form
    58,478.74/80,695.76 = 34,601.26/x
  3. Step 3: Cross multiply
    58,478.74x = 80,695.76 × 34,601.26
  4. Step 4: Simplify right side
    58,478.74x = 2,792,174,972.66
  5. Step 5: Solve for x
    x = 2,792,174,972.66/58,478.74
  6. Step 6: Final answer
    x = 47,746.84

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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.