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Finding the Fourth Proportional to 77,055.54, 106,336.29 and 43,064.00

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Solution

The fourth proportional to 77,055.54, 106,336.29 and 43,064.00 is: 59,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,055.54 : 106,336.29 = 43,064.00 : x
  2. Step 2: Convert to fraction form
    77,055.54/106,336.29 = 43,064.00/x
  3. Step 3: Cross multiply
    77,055.54x = 106,336.29 × 43,064.00
  4. Step 4: Simplify right side
    77,055.54x = 4,579,265,479.82
  5. Step 5: Solve for x
    x = 4,579,265,479.82/77,055.54
  6. Step 6: Final answer
    x = 59,428.11

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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.