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Finding the Fourth Proportional to 56,735.81, 78,283.55 and 32,861.06

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Solution

The fourth proportional to 56,735.81, 78,283.55 and 32,861.06 is: 45,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,735.81 : 78,283.55 = 32,861.06 : x
  2. Step 2: Convert to fraction form
    56,735.81/78,283.55 = 32,861.06/x
  3. Step 3: Cross multiply
    56,735.81x = 78,283.55 × 32,861.06
  4. Step 4: Simplify right side
    56,735.81x = 2,572,479,877.84
  5. Step 5: Solve for x
    x = 2,572,479,877.84/56,735.81
  6. Step 6: Final answer
    x = 45,341.38

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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.