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Finding the Fourth Proportional to 58,342.50, 80,512.65 and 31,846.50

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Solution

The fourth proportional to 58,342.50, 80,512.65 and 31,846.50 is: 43,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,342.50 : 80,512.65 = 31,846.50 : x
  2. Step 2: Convert to fraction form
    58,342.50/80,512.65 = 31,846.50/x
  3. Step 3: Cross multiply
    58,342.50x = 80,512.65 × 31,846.50
  4. Step 4: Simplify right side
    58,342.50x = 2,564,046,108.23
  5. Step 5: Solve for x
    x = 2,564,046,108.23/58,342.50
  6. Step 6: Final answer
    x = 43,948.17

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1.5x scale

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.