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Finding the Fourth Proportional to 97,952.63, 146,930.56 and 42,548.63

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Solution

The fourth proportional to 97,952.63, 146,930.56 and 42,548.63 is: 63,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,952.63 : 146,930.56 = 42,548.63 : x
  2. Step 2: Convert to fraction form
    97,952.63/146,930.56 = 42,548.63/x
  3. Step 3: Cross multiply
    97,952.63x = 146,930.56 × 42,548.63
  4. Step 4: Simplify right side
    97,952.63x = 6,251,693,192.11
  5. Step 5: Solve for x
    x = 6,251,693,192.11/97,952.63
  6. Step 6: Final answer
    x = 63,823.64

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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.