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Finding the Fourth Proportional to 77,498.64, 106,924.56 and 45,655.92

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Solution

The fourth proportional to 77,498.64, 106,924.56 and 45,655.92 is: 62,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.64 : 106,924.56 = 45,655.92 : x
  2. Step 2: Convert to fraction form
    77,498.64/106,924.56 = 45,655.92/x
  3. Step 3: Cross multiply
    77,498.64x = 106,924.56 × 45,655.92
  4. Step 4: Simplify right side
    77,498.64x = 4,881,739,157.40
  5. Step 5: Solve for x
    x = 4,881,739,157.40/77,498.64
  6. Step 6: Final answer
    x = 62,991.29

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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.