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Finding the Fourth Proportional to 46,699.71, 70,049.28 and 21,726

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Solution

The fourth proportional to 46,699.71, 70,049.28 and 21,726 is: 32,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699.71 : 70,049.28 = 21,726 : x
  2. Step 2: Convert to fraction form
    46,699.71/70,049.28 = 21,726/x
  3. Step 3: Cross multiply
    46,699.71x = 70,049.28 × 21,726
  4. Step 4: Simplify right side
    46,699.71x = 1,521,890,657.28
  5. Step 5: Solve for x
    x = 1,521,890,657.28/46,699.71
  6. Step 6: Final answer
    x = 32,588.87

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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.