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Finding the Fourth Proportional to 46,952.66, 64,783.08 and 27,836.92

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Solution

The fourth proportional to 46,952.66, 64,783.08 and 27,836.92 is: 38,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.66 : 64,783.08 = 27,836.92 : x
  2. Step 2: Convert to fraction form
    46,952.66/64,783.08 = 27,836.92/x
  3. Step 3: Cross multiply
    46,952.66x = 64,783.08 × 27,836.92
  4. Step 4: Simplify right side
    46,952.66x = 1,803,361,415.31
  5. Step 5: Solve for x
    x = 1,803,361,415.31/46,952.66
  6. Step 6: Final answer
    x = 38,408.08

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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.