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Finding the Fourth Proportional to 34,881.84, 52,325.09 and 9,923.82

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Solution

The fourth proportional to 34,881.84, 52,325.09 and 9,923.82 is: 14,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,881.84 : 52,325.09 = 9,923.82 : x
  2. Step 2: Convert to fraction form
    34,881.84/52,325.09 = 9,923.82/x
  3. Step 3: Cross multiply
    34,881.84x = 52,325.09 × 9,923.82
  4. Step 4: Simplify right side
    34,881.84x = 519,264,566.02
  5. Step 5: Solve for x
    x = 519,264,566.02/34,881.84
  6. Step 6: Final answer
    x = 14,886.39

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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.