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Finding the Fourth Proportional to 75,674.40, 104,384.16 and 47,004

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Solution

The fourth proportional to 75,674.40, 104,384.16 and 47,004 is: 64,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,674.40 : 104,384.16 = 47,004 : x
  2. Step 2: Convert to fraction form
    75,674.40/104,384.16 = 47,004/x
  3. Step 3: Cross multiply
    75,674.40x = 104,384.16 × 47,004
  4. Step 4: Simplify right side
    75,674.40x = 4,906,473,056.64
  5. Step 5: Solve for x
    x = 4,906,473,056.64/75,674.40
  6. Step 6: Final answer
    x = 64,836.63

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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.