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Finding the Fourth Proportional to 38,031.84, 57,024 and 14,630.40

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Solution

The fourth proportional to 38,031.84, 57,024 and 14,630.40 is: 21,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,031.84 : 57,024 = 14,630.40 : x
  2. Step 2: Convert to fraction form
    38,031.84/57,024 = 14,630.40/x
  3. Step 3: Cross multiply
    38,031.84x = 57,024 × 14,630.40
  4. Step 4: Simplify right side
    38,031.84x = 834,283,929.60
  5. Step 5: Solve for x
    x = 834,283,929.60/38,031.84
  6. Step 6: Final answer
    x = 21,936.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.