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Finding the Fourth Proportional to 74,574.64, 102,914.04 and 41,041.36

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Solution

The fourth proportional to 74,574.64, 102,914.04 and 41,041.36 is: 56,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,574.64 : 102,914.04 = 41,041.36 : x
  2. Step 2: Convert to fraction form
    74,574.64/102,914.04 = 41,041.36/x
  3. Step 3: Cross multiply
    74,574.64x = 102,914.04 × 41,041.36
  4. Step 4: Simplify right side
    74,574.64x = 4,223,732,164.69
  5. Step 5: Solve for x
    x = 4,223,732,164.69/74,574.64
  6. Step 6: Final answer
    x = 56,637.65

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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.