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Finding the Fourth Proportional to 77,108.16, 106,411.84 and 43,576.32

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Solution

The fourth proportional to 77,108.16, 106,411.84 and 43,576.32 is: 60,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,108.16 : 106,411.84 = 43,576.32 : x
  2. Step 2: Convert to fraction form
    77,108.16/106,411.84 = 43,576.32/x
  3. Step 3: Cross multiply
    77,108.16x = 106,411.84 × 43,576.32
  4. Step 4: Simplify right side
    77,108.16x = 4,637,036,391.63
  5. Step 5: Solve for x
    x = 4,637,036,391.63/77,108.16
  6. Step 6: Final answer
    x = 60,136.78

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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.