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Finding the Fourth Proportional to 77,529.29, 107,001.99 and 47,332.11

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Solution

The fourth proportional to 77,529.29, 107,001.99 and 47,332.11 is: 65,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,529.29 : 107,001.99 = 47,332.11 : x
  2. Step 2: Convert to fraction form
    77,529.29/107,001.99 = 47,332.11/x
  3. Step 3: Cross multiply
    77,529.29x = 107,001.99 × 47,332.11
  4. Step 4: Simplify right side
    77,529.29x = 5,064,630,184.66
  5. Step 5: Solve for x
    x = 5,064,630,184.66/77,529.29
  6. Step 6: Final answer
    x = 65,325.38

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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.