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Finding the Fourth Proportional to 77,226.83, 106,541.35 and 46,987.91

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Solution

The fourth proportional to 77,226.83, 106,541.35 and 46,987.91 is: 64,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.83 : 106,541.35 = 46,987.91 : x
  2. Step 2: Convert to fraction form
    77,226.83/106,541.35 = 46,987.91/x
  3. Step 3: Cross multiply
    77,226.83x = 106,541.35 × 46,987.91
  4. Step 4: Simplify right side
    77,226.83x = 5,006,155,365.08
  5. Step 5: Solve for x
    x = 5,006,155,365.08/77,226.83
  6. Step 6: Final answer
    x = 64,824.04

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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.