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Finding the Fourth Proportional to 65,302.17, 97,920.44 and 30,266.43

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Solution

The fourth proportional to 65,302.17, 97,920.44 and 30,266.43 is: 45,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.17 : 97,920.44 = 30,266.43 : x
  2. Step 2: Convert to fraction form
    65,302.17/97,920.44 = 30,266.43/x
  3. Step 3: Cross multiply
    65,302.17x = 97,920.44 × 30,266.43
  4. Step 4: Simplify right side
    65,302.17x = 2,963,701,908.04
  5. Step 5: Solve for x
    x = 2,963,701,908.04/65,302.17
  6. Step 6: Final answer
    x = 45,384.43

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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.