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Finding the Fourth Proportional to 42,831.99, 64,269.18 and 20,664.18

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Solution

The fourth proportional to 42,831.99, 64,269.18 and 20,664.18 is: 31,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,831.99 : 64,269.18 = 20,664.18 : x
  2. Step 2: Convert to fraction form
    42,831.99/64,269.18 = 20,664.18/x
  3. Step 3: Cross multiply
    42,831.99x = 64,269.18 × 20,664.18
  4. Step 4: Simplify right side
    42,831.99x = 1,328,069,903.97
  5. Step 5: Solve for x
    x = 1,328,069,903.97/42,831.99
  6. Step 6: Final answer
    x = 31,006.50

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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.