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Finding the Fourth Proportional to 87,140, 130,693.32 and 33,831.98

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Solution

The fourth proportional to 87,140, 130,693.32 and 33,831.98 is: 50,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,140 : 130,693.32 = 33,831.98 : x
  2. Step 2: Convert to fraction form
    87,140/130,693.32 = 33,831.98/x
  3. Step 3: Cross multiply
    87,140x = 130,693.32 × 33,831.98
  4. Step 4: Simplify right side
    87,140x = 4,421,613,788.37
  5. Step 5: Solve for x
    x = 4,421,613,788.37/87,140
  6. Step 6: Final answer
    x = 50,741.49

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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.