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Finding the Fourth Proportional to 34,602.97, 51,967.02 and 31,967.63

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Solution

The fourth proportional to 34,602.97, 51,967.02 and 31,967.63 is: 48,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.97 : 51,967.02 = 31,967.63 : x
  2. Step 2: Convert to fraction form
    34,602.97/51,967.02 = 31,967.63/x
  3. Step 3: Cross multiply
    34,602.97x = 51,967.02 × 31,967.63
  4. Step 4: Simplify right side
    34,602.97x = 1,661,262,717.36
  5. Step 5: Solve for x
    x = 1,661,262,717.36/34,602.97
  6. Step 6: Final answer
    x = 48,009.26

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1.5x scale

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.