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Finding the Fourth Proportional to 52,032, 77,609.60 and 43,614.48

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Solution

The fourth proportional to 52,032, 77,609.60 and 43,614.48 is: 65,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032 : 77,609.60 = 43,614.48 : x
  2. Step 2: Convert to fraction form
    52,032/77,609.60 = 43,614.48/x
  3. Step 3: Cross multiply
    52,032x = 77,609.60 × 43,614.48
  4. Step 4: Simplify right side
    52,032x = 3,384,902,347.01
  5. Step 5: Solve for x
    x = 3,384,902,347.01/52,032
  6. Step 6: Final answer
    x = 65,054.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.