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Finding the Fourth Proportional to 38,503.84, 53,119.50 and 23,394.07

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Solution

The fourth proportional to 38,503.84, 53,119.50 and 23,394.07 is: 32,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.84 : 53,119.50 = 23,394.07 : x
  2. Step 2: Convert to fraction form
    38,503.84/53,119.50 = 23,394.07/x
  3. Step 3: Cross multiply
    38,503.84x = 53,119.50 × 23,394.07
  4. Step 4: Simplify right side
    38,503.84x = 1,242,680,981.24
  5. Step 5: Solve for x
    x = 1,242,680,981.24/38,503.84
  6. Step 6: Final answer
    x = 32,274.21

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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.