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Finding the Fourth Proportional to 76,953.44, 106,197.41 and 42,498.07

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Solution

The fourth proportional to 76,953.44, 106,197.41 and 42,498.07 is: 58,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953.44 : 106,197.41 = 42,498.07 : x
  2. Step 2: Convert to fraction form
    76,953.44/106,197.41 = 42,498.07/x
  3. Step 3: Cross multiply
    76,953.44x = 106,197.41 × 42,498.07
  4. Step 4: Simplify right side
    76,953.44x = 4,513,184,804.75
  5. Step 5: Solve for x
    x = 4,513,184,804.75/76,953.44
  6. Step 6: Final answer
    x = 58,648.25

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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.