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Finding the Fourth Proportional to 82,718.50, 114,152.08 and 44,993.02

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Solution

The fourth proportional to 82,718.50, 114,152.08 and 44,993.02 is: 62,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.50 : 114,152.08 = 44,993.02 : x
  2. Step 2: Convert to fraction form
    82,718.50/114,152.08 = 44,993.02/x
  3. Step 3: Cross multiply
    82,718.50x = 114,152.08 × 44,993.02
  4. Step 4: Simplify right side
    82,718.50x = 5,136,046,818.48
  5. Step 5: Solve for x
    x = 5,136,046,818.48/82,718.50
  6. Step 6: Final answer
    x = 62,090.67

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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.