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Finding the Fourth Proportional to 46,967.16, 64,817.34 and 27,858.24

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Solution

The fourth proportional to 46,967.16, 64,817.34 and 27,858.24 is: 38,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,967.16 : 64,817.34 = 27,858.24 : x
  2. Step 2: Convert to fraction form
    46,967.16/64,817.34 = 27,858.24/x
  3. Step 3: Cross multiply
    46,967.16x = 64,817.34 × 27,858.24
  4. Step 4: Simplify right side
    46,967.16x = 1,805,697,013.88
  5. Step 5: Solve for x
    x = 1,805,697,013.88/46,967.16
  6. Step 6: Final answer
    x = 38,445.95

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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.