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Finding the Fourth Proportional to 77,031.47, 106,292.77 and 43,035.69

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Solution

The fourth proportional to 77,031.47, 106,292.77 and 43,035.69 is: 59,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.47 : 106,292.77 = 43,035.69 : x
  2. Step 2: Convert to fraction form
    77,031.47/106,292.77 = 43,035.69/x
  3. Step 3: Cross multiply
    77,031.47x = 106,292.77 × 43,035.69
  4. Step 4: Simplify right side
    77,031.47x = 4,574,382,698.96
  5. Step 5: Solve for x
    x = 4,574,382,698.96/77,031.47
  6. Step 6: Final answer
    x = 59,383.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.