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Finding the Fourth Proportional to 59,231, 81,776.04 and 38,047.16

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Solution

The fourth proportional to 59,231, 81,776.04 and 38,047.16 is: 52,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,231 : 81,776.04 = 38,047.16 : x
  2. Step 2: Convert to fraction form
    59,231/81,776.04 = 38,047.16/x
  3. Step 3: Cross multiply
    59,231x = 81,776.04 × 38,047.16
  4. Step 4: Simplify right side
    59,231x = 3,111,346,078.05
  5. Step 5: Solve for x
    x = 3,111,346,078.05/59,231
  6. Step 6: Final answer
    x = 52,529.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.