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Finding the Fourth Proportional to 30,831.40, 42,547.41 and 16,684.27

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Solution

The fourth proportional to 30,831.40, 42,547.41 and 16,684.27 is: 23,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.40 : 42,547.41 = 16,684.27 : x
  2. Step 2: Convert to fraction form
    30,831.40/42,547.41 = 16,684.27/x
  3. Step 3: Cross multiply
    30,831.40x = 42,547.41 × 16,684.27
  4. Step 4: Simplify right side
    30,831.40x = 709,872,476.24
  5. Step 5: Solve for x
    x = 709,872,476.24/30,831.40
  6. Step 6: Final answer
    x = 23,024.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.