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Finding the Fourth Proportional to 35,846, 49,465.14 and 19,929.88

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Solution

The fourth proportional to 35,846, 49,465.14 and 19,929.88 is: 27,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846 : 49,465.14 = 19,929.88 : x
  2. Step 2: Convert to fraction form
    35,846/49,465.14 = 19,929.88/x
  3. Step 3: Cross multiply
    35,846x = 49,465.14 × 19,929.88
  4. Step 4: Simplify right side
    35,846x = 985,834,304.38
  5. Step 5: Solve for x
    x = 985,834,304.38/35,846
  6. Step 6: Final answer
    x = 27,501.93

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1.5x scale

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.