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Finding the Fourth Proportional to 34,713.40, 47,881.72 and 24,519.40

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Solution

The fourth proportional to 34,713.40, 47,881.72 and 24,519.40 is: 33,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713.40 : 47,881.72 = 24,519.40 : x
  2. Step 2: Convert to fraction form
    34,713.40/47,881.72 = 24,519.40/x
  3. Step 3: Cross multiply
    34,713.40x = 47,881.72 × 24,519.40
  4. Step 4: Simplify right side
    34,713.40x = 1,174,031,045.37
  5. Step 5: Solve for x
    x = 1,174,031,045.37/34,713.40
  6. Step 6: Final answer
    x = 33,820.69

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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.