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Finding the Fourth Proportional to 46,998, 64,863 and 27,126

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Solution

The fourth proportional to 46,998, 64,863 and 27,126 is: 37,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,998 : 64,863 = 27,126 : x
  2. Step 2: Convert to fraction form
    46,998/64,863 = 27,126/x
  3. Step 3: Cross multiply
    46,998x = 64,863 × 27,126
  4. Step 4: Simplify right side
    46,998x = 1,759,473,738
  5. Step 5: Solve for x
    x = 1,759,473,738/46,998
  6. Step 6: Final answer
    x = 37,437.20

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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.