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Finding the Fourth Proportional to 73,718.48, 110,620.54 and 31,020.76

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Solution

The fourth proportional to 73,718.48, 110,620.54 and 31,020.76 is: 46,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,718.48 : 110,620.54 = 31,020.76 : x
  2. Step 2: Convert to fraction form
    73,718.48/110,620.54 = 31,020.76/x
  3. Step 3: Cross multiply
    73,718.48x = 110,620.54 × 31,020.76
  4. Step 4: Simplify right side
    73,718.48x = 3,431,533,222.41
  5. Step 5: Solve for x
    x = 3,431,533,222.41/73,718.48
  6. Step 6: Final answer
    x = 46,549.16

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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.