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Finding the Fourth Proportional to 52,818.84, 72,890.04 and 31,603.14

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Solution

The fourth proportional to 52,818.84, 72,890.04 and 31,603.14 is: 43,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,818.84 : 72,890.04 = 31,603.14 : x
  2. Step 2: Convert to fraction form
    52,818.84/72,890.04 = 31,603.14/x
  3. Step 3: Cross multiply
    52,818.84x = 72,890.04 × 31,603.14
  4. Step 4: Simplify right side
    52,818.84x = 2,303,554,138.73
  5. Step 5: Solve for x
    x = 2,303,554,138.73/52,818.84
  6. Step 6: Final answer
    x = 43,612.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.