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Finding the Fourth Proportional to 46,963.50, 64,800.05 and 27,834.84

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Solution

The fourth proportional to 46,963.50, 64,800.05 and 27,834.84 is: 38,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963.50 : 64,800.05 = 27,834.84 : x
  2. Step 2: Convert to fraction form
    46,963.50/64,800.05 = 27,834.84/x
  3. Step 3: Cross multiply
    46,963.50x = 64,800.05 × 27,834.84
  4. Step 4: Simplify right side
    46,963.50x = 1,803,698,826.95
  5. Step 5: Solve for x
    x = 1,803,698,826.95/46,963.50
  6. Step 6: Final answer
    x = 38,406.40

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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.