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Finding the Fourth Proportional to 58,684.34, 87,982.76 and 35,305.32

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Solution

The fourth proportional to 58,684.34, 87,982.76 and 35,305.32 is: 52,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684.34 : 87,982.76 = 35,305.32 : x
  2. Step 2: Convert to fraction form
    58,684.34/87,982.76 = 35,305.32/x
  3. Step 3: Cross multiply
    58,684.34x = 87,982.76 × 35,305.32
  4. Step 4: Simplify right side
    58,684.34x = 3,106,259,496.28
  5. Step 5: Solve for x
    x = 3,106,259,496.28/58,684.34
  6. Step 6: Final answer
    x = 52,931.66

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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.