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Finding the Fourth Proportional to 55,102.68, 76,048.16 and 32,746.68

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Solution

The fourth proportional to 55,102.68, 76,048.16 and 32,746.68 is: 45,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.68 : 76,048.16 = 32,746.68 : x
  2. Step 2: Convert to fraction form
    55,102.68/76,048.16 = 32,746.68/x
  3. Step 3: Cross multiply
    55,102.68x = 76,048.16 × 32,746.68
  4. Step 4: Simplify right side
    55,102.68x = 2,490,324,760.11
  5. Step 5: Solve for x
    x = 2,490,324,760.11/55,102.68
  6. Step 6: Final answer
    x = 45,194.26

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1.5x scale

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.