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Finding the Fourth Proportional to 64,875, 89,527.51 and 35,067

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Solution

The fourth proportional to 64,875, 89,527.51 and 35,067 is: 48,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,875 : 89,527.51 = 35,067 : x
  2. Step 2: Convert to fraction form
    64,875/89,527.51 = 35,067/x
  3. Step 3: Cross multiply
    64,875x = 89,527.51 × 35,067
  4. Step 4: Simplify right side
    64,875x = 3,139,461,193.17
  5. Step 5: Solve for x
    x = 3,139,461,193.17/64,875
  6. Step 6: Final answer
    x = 48,392.47

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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.