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Finding the Fourth Proportional to 85,772.68, 118,370.86 and 47,536.41

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Solution

The fourth proportional to 85,772.68, 118,370.86 and 47,536.41 is: 65,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.68 : 118,370.86 = 47,536.41 : x
  2. Step 2: Convert to fraction form
    85,772.68/118,370.86 = 47,536.41/x
  3. Step 3: Cross multiply
    85,772.68x = 118,370.86 × 47,536.41
  4. Step 4: Simplify right side
    85,772.68x = 5,626,925,733.01
  5. Step 5: Solve for x
    x = 5,626,925,733.01/85,772.68
  6. Step 6: Final answer
    x = 65,602.77

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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.