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Finding the Fourth Proportional to 77,102.31, 106,461.50 and 59,168.91

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Solution

The fourth proportional to 77,102.31, 106,461.50 and 59,168.91 is: 81,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.31 : 106,461.50 = 59,168.91 : x
  2. Step 2: Convert to fraction form
    77,102.31/106,461.50 = 59,168.91/x
  3. Step 3: Cross multiply
    77,102.31x = 106,461.50 × 59,168.91
  4. Step 4: Simplify right side
    77,102.31x = 6,299,210,616.12
  5. Step 5: Solve for x
    x = 6,299,210,616.12/77,102.31
  6. Step 6: Final answer
    x = 81,699.38

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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.