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Finding the Fourth Proportional to 64,893, 89,552.36 and 35,085

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Solution

The fourth proportional to 64,893, 89,552.36 and 35,085 is: 48,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,893 : 89,552.36 = 35,085 : x
  2. Step 2: Convert to fraction form
    64,893/89,552.36 = 35,085/x
  3. Step 3: Cross multiply
    64,893x = 89,552.36 × 35,085
  4. Step 4: Simplify right side
    64,893x = 3,141,944,550.60
  5. Step 5: Solve for x
    x = 3,141,944,550.60/64,893
  6. Step 6: Final answer
    x = 48,417.31

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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.