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Finding the Fourth Proportional to 35,191.98, 52,782.27 and 13,015.74

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Solution

The fourth proportional to 35,191.98, 52,782.27 and 13,015.74 is: 19,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,191.98 : 52,782.27 = 13,015.74 : x
  2. Step 2: Convert to fraction form
    35,191.98/52,782.27 = 13,015.74/x
  3. Step 3: Cross multiply
    35,191.98x = 52,782.27 × 13,015.74
  4. Step 4: Simplify right side
    35,191.98x = 687,000,302.93
  5. Step 5: Solve for x
    x = 687,000,302.93/35,191.98
  6. Step 6: Final answer
    x = 19,521.50

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Why These Related Problems?

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