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Finding the Fourth Proportional to 85,657.86, 118,206.41 and 47,416.60

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Solution

The fourth proportional to 85,657.86, 118,206.41 and 47,416.60 is: 65,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,657.86 : 118,206.41 = 47,416.60 : x
  2. Step 2: Convert to fraction form
    85,657.86/118,206.41 = 47,416.60/x
  3. Step 3: Cross multiply
    85,657.86x = 118,206.41 × 47,416.60
  4. Step 4: Simplify right side
    85,657.86x = 5,604,946,060.41
  5. Step 5: Solve for x
    x = 5,604,946,060.41/85,657.86
  6. Step 6: Final answer
    x = 65,434.11

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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.