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Finding the Fourth Proportional to 35,574.80, 49,089.38 and 19,657.08

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Solution

The fourth proportional to 35,574.80, 49,089.38 and 19,657.08 is: 27,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.80 : 49,089.38 = 19,657.08 : x
  2. Step 2: Convert to fraction form
    35,574.80/49,089.38 = 19,657.08/x
  3. Step 3: Cross multiply
    35,574.80x = 49,089.38 × 19,657.08
  4. Step 4: Simplify right side
    35,574.80x = 964,953,771.53
  5. Step 5: Solve for x
    x = 964,953,771.53/35,574.80
  6. Step 6: Final answer
    x = 27,124.65

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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.