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Finding the Fourth Proportional to 32,009.74, 47,921.10 and 21,347.98

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Solution

The fourth proportional to 32,009.74, 47,921.10 and 21,347.98 is: 31,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.74 : 47,921.10 = 21,347.98 : x
  2. Step 2: Convert to fraction form
    32,009.74/47,921.10 = 21,347.98/x
  3. Step 3: Cross multiply
    32,009.74x = 47,921.10 × 21,347.98
  4. Step 4: Simplify right side
    32,009.74x = 1,023,018,684.38
  5. Step 5: Solve for x
    x = 1,023,018,684.38/32,009.74
  6. Step 6: Final answer
    x = 31,959.61

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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.