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Finding the Fourth Proportional to 56,684.34, 85,024.62 and 30,440.34

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Solution

The fourth proportional to 56,684.34, 85,024.62 and 30,440.34 is: 45,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,684.34 : 85,024.62 = 30,440.34 : x
  2. Step 2: Convert to fraction form
    56,684.34/85,024.62 = 30,440.34/x
  3. Step 3: Cross multiply
    56,684.34x = 85,024.62 × 30,440.34
  4. Step 4: Simplify right side
    56,684.34x = 2,588,178,341.17
  5. Step 5: Solve for x
    x = 2,588,178,341.17/56,684.34
  6. Step 6: Final answer
    x = 45,659.50

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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.