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Finding the Fourth Proportional to 34,854.84, 48,139.12 and 22,970.94

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Solution

The fourth proportional to 34,854.84, 48,139.12 and 22,970.94 is: 31,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854.84 : 48,139.12 = 22,970.94 : x
  2. Step 2: Convert to fraction form
    34,854.84/48,139.12 = 22,970.94/x
  3. Step 3: Cross multiply
    34,854.84x = 48,139.12 × 22,970.94
  4. Step 4: Simplify right side
    34,854.84x = 1,105,800,837.17
  5. Step 5: Solve for x
    x = 1,105,800,837.17/34,854.84
  6. Step 6: Final answer
    x = 31,725.89

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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.