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Finding the Fourth Proportional to 35,574.38, 49,088.39 and 19,656.66

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Solution

The fourth proportional to 35,574.38, 49,088.39 and 19,656.66 is: 27,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.38 : 49,088.39 = 19,656.66 : x
  2. Step 2: Convert to fraction form
    35,574.38/49,088.39 = 19,656.66/x
  3. Step 3: Cross multiply
    35,574.38x = 49,088.39 × 19,656.66
  4. Step 4: Simplify right side
    35,574.38x = 964,913,693.89
  5. Step 5: Solve for x
    x = 964,913,693.89/35,574.38
  6. Step 6: Final answer
    x = 27,123.84

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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.