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Finding the Fourth Proportional to 42,996.50, 64,494.74 and 28,202

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Solution

The fourth proportional to 42,996.50, 64,494.74 and 28,202 is: 42,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996.50 : 64,494.74 = 28,202 : x
  2. Step 2: Convert to fraction form
    42,996.50/64,494.74 = 28,202/x
  3. Step 3: Cross multiply
    42,996.50x = 64,494.74 × 28,202
  4. Step 4: Simplify right side
    42,996.50x = 1,818,880,657.48
  5. Step 5: Solve for x
    x = 1,818,880,657.48/42,996.50
  6. Step 6: Final answer
    x = 42,302.99

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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.