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Finding the Fourth Proportional to 76,332.75, 105,339.24 and 42,340.11

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Solution

The fourth proportional to 76,332.75, 105,339.24 and 42,340.11 is: 58,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332.75 : 105,339.24 = 42,340.11 : x
  2. Step 2: Convert to fraction form
    76,332.75/105,339.24 = 42,340.11/x
  3. Step 3: Cross multiply
    76,332.75x = 105,339.24 × 42,340.11
  4. Step 4: Simplify right side
    76,332.75x = 4,460,075,008.92
  5. Step 5: Solve for x
    x = 4,460,075,008.92/76,332.75
  6. Step 6: Final answer
    x = 58,429.38

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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.