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Finding the Fourth Proportional to 77,497.68, 106,997.23 and 47,300.51

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Solution

The fourth proportional to 77,497.68, 106,997.23 and 47,300.51 is: 65,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497.68 : 106,997.23 = 47,300.51 : x
  2. Step 2: Convert to fraction form
    77,497.68/106,997.23 = 47,300.51/x
  3. Step 3: Cross multiply
    77,497.68x = 106,997.23 × 47,300.51
  4. Step 4: Simplify right side
    77,497.68x = 5,061,023,874.21
  5. Step 5: Solve for x
    x = 5,061,023,874.21/77,497.68
  6. Step 6: Final answer
    x = 65,305.49

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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.