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Finding the Fourth Proportional to 97,921, 146,881.14 and 27,800.32

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Solution

The fourth proportional to 97,921, 146,881.14 and 27,800.32 is: 41,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,921 : 146,881.14 = 27,800.32 : x
  2. Step 2: Convert to fraction form
    97,921/146,881.14 = 27,800.32/x
  3. Step 3: Cross multiply
    97,921x = 146,881.14 × 27,800.32
  4. Step 4: Simplify right side
    97,921x = 4,083,342,693.96
  5. Step 5: Solve for x
    x = 4,083,342,693.96/97,921
  6. Step 6: Final answer
    x = 41,700.38

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1.5x scale

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.