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Finding the Fourth Proportional to 89,142.60, 133,670.70 and 49,657.80

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Solution

The fourth proportional to 89,142.60, 133,670.70 and 49,657.80 is: 74,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,142.60 : 133,670.70 = 49,657.80 : x
  2. Step 2: Convert to fraction form
    89,142.60/133,670.70 = 49,657.80/x
  3. Step 3: Cross multiply
    89,142.60x = 133,670.70 × 49,657.80
  4. Step 4: Simplify right side
    89,142.60x = 6,637,792,886.46
  5. Step 5: Solve for x
    x = 6,637,792,886.46/89,142.60
  6. Step 6: Final answer
    x = 74,462.63

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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.