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Finding the Fourth Proportional to 30,831.48, 42,484.62 and 21,274.29

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Solution

The fourth proportional to 30,831.48, 42,484.62 and 21,274.29 is: 29,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.48 : 42,484.62 = 21,274.29 : x
  2. Step 2: Convert to fraction form
    30,831.48/42,484.62 = 21,274.29/x
  3. Step 3: Cross multiply
    30,831.48x = 42,484.62 × 21,274.29
  4. Step 4: Simplify right side
    30,831.48x = 903,830,126.42
  5. Step 5: Solve for x
    x = 903,830,126.42/30,831.48
  6. Step 6: Final answer
    x = 29,315.17

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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.