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Finding the Fourth Proportional to 35,703, 49,269.05 and 19,569.96

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Solution

The fourth proportional to 35,703, 49,269.05 and 19,569.96 is: 27,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703 : 49,269.05 = 19,569.96 : x
  2. Step 2: Convert to fraction form
    35,703/49,269.05 = 19,569.96/x
  3. Step 3: Cross multiply
    35,703x = 49,269.05 × 19,569.96
  4. Step 4: Simplify right side
    35,703x = 964,193,337.74
  5. Step 5: Solve for x
    x = 964,193,337.74/35,703
  6. Step 6: Final answer
    x = 27,005.95

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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.