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Finding the Fourth Proportional to 76,186.54, 105,149.06 and 47,510.88

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Solution

The fourth proportional to 76,186.54, 105,149.06 and 47,510.88 is: 65,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,186.54 : 105,149.06 = 47,510.88 : x
  2. Step 2: Convert to fraction form
    76,186.54/105,149.06 = 47,510.88/x
  3. Step 3: Cross multiply
    76,186.54x = 105,149.06 × 47,510.88
  4. Step 4: Simplify right side
    76,186.54x = 4,995,724,371.77
  5. Step 5: Solve for x
    x = 4,995,724,371.77/76,186.54
  6. Step 6: Final answer
    x = 65,572.27

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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.