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Finding the Fourth Proportional to 73,137.94, 109,746.60 and 31,041.70

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Solution

The fourth proportional to 73,137.94, 109,746.60 and 31,041.70 is: 46,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137.94 : 109,746.60 = 31,041.70 : x
  2. Step 2: Convert to fraction form
    73,137.94/109,746.60 = 31,041.70/x
  3. Step 3: Cross multiply
    73,137.94x = 109,746.60 × 31,041.70
  4. Step 4: Simplify right side
    73,137.94x = 3,406,721,033.22
  5. Step 5: Solve for x
    x = 3,406,721,033.22/73,137.94
  6. Step 6: Final answer
    x = 46,579.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.