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Finding the Fourth Proportional to 71,312, 106,973.76 and 22,064

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Solution

The fourth proportional to 71,312, 106,973.76 and 22,064 is: 33,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312 : 106,973.76 = 22,064 : x
  2. Step 2: Convert to fraction form
    71,312/106,973.76 = 22,064/x
  3. Step 3: Cross multiply
    71,312x = 106,973.76 × 22,064
  4. Step 4: Simplify right side
    71,312x = 2,360,269,040.64
  5. Step 5: Solve for x
    x = 2,360,269,040.64/71,312
  6. Step 6: Final answer
    x = 33,097.78

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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.