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Finding the Fourth Proportional to 46,997.66, 64,857.66 and 25,778

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Solution

The fourth proportional to 46,997.66, 64,857.66 and 25,778 is: 35,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,997.66 : 64,857.66 = 25,778 : x
  2. Step 2: Convert to fraction form
    46,997.66/64,857.66 = 25,778/x
  3. Step 3: Cross multiply
    46,997.66x = 64,857.66 × 25,778
  4. Step 4: Simplify right side
    46,997.66x = 1,671,900,759.48
  5. Step 5: Solve for x
    x = 1,671,900,759.48/46,997.66
  6. Step 6: Final answer
    x = 35,574.13

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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.