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Finding the Fourth Proportional to 31,810.50, 47,715.93 and 14,276.01

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Solution

The fourth proportional to 31,810.50, 47,715.93 and 14,276.01 is: 21,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.50 : 47,715.93 = 14,276.01 : x
  2. Step 2: Convert to fraction form
    31,810.50/47,715.93 = 14,276.01/x
  3. Step 3: Cross multiply
    31,810.50x = 47,715.93 × 14,276.01
  4. Step 4: Simplify right side
    31,810.50x = 681,193,093.84
  5. Step 5: Solve for x
    x = 681,193,093.84/31,810.50
  6. Step 6: Final answer
    x = 21,414.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.