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Finding the Fourth Proportional to 46,815.84, 64,607.10 and 27,963.84

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Solution

The fourth proportional to 46,815.84, 64,607.10 and 27,963.84 is: 38,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815.84 : 64,607.10 = 27,963.84 : x
  2. Step 2: Convert to fraction form
    46,815.84/64,607.10 = 27,963.84/x
  3. Step 3: Cross multiply
    46,815.84x = 64,607.10 × 27,963.84
  4. Step 4: Simplify right side
    46,815.84x = 1,806,662,607.26
  5. Step 5: Solve for x
    x = 1,806,662,607.26/46,815.84
  6. Step 6: Final answer
    x = 38,590.84

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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.