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Finding the Fourth Proportional to 97,656.78, 146,496.90 and 34,463.87

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Solution

The fourth proportional to 97,656.78, 146,496.90 and 34,463.87 is: 51,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,656.78 : 146,496.90 = 34,463.87 : x
  2. Step 2: Convert to fraction form
    97,656.78/146,496.90 = 34,463.87/x
  3. Step 3: Cross multiply
    97,656.78x = 146,496.90 × 34,463.87
  4. Step 4: Simplify right side
    97,656.78x = 5,048,849,384.52
  5. Step 5: Solve for x
    x = 5,048,849,384.52/97,656.78
  6. Step 6: Final answer
    x = 51,699.94

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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.