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Finding the Fourth Proportional to 64,988.63, 97,463.10 and 27,548

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Solution

The fourth proportional to 64,988.63, 97,463.10 and 27,548 is: 41,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,988.63 : 97,463.10 = 27,548 : x
  2. Step 2: Convert to fraction form
    64,988.63/97,463.10 = 27,548/x
  3. Step 3: Cross multiply
    64,988.63x = 97,463.10 × 27,548
  4. Step 4: Simplify right side
    64,988.63x = 2,684,913,478.80
  5. Step 5: Solve for x
    x = 2,684,913,478.80/64,988.63
  6. Step 6: Final answer
    x = 41,313.59

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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.