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Finding the Fourth Proportional to 76,342.76, 105,352.92 and 42,356.40

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Solution

The fourth proportional to 76,342.76, 105,352.92 and 42,356.40 is: 58,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,342.76 : 105,352.92 = 42,356.40 : x
  2. Step 2: Convert to fraction form
    76,342.76/105,352.92 = 42,356.40/x
  3. Step 3: Cross multiply
    76,342.76x = 105,352.92 × 42,356.40
  4. Step 4: Simplify right side
    76,342.76x = 4,462,370,420.69
  5. Step 5: Solve for x
    x = 4,462,370,420.69/76,342.76
  6. Step 6: Final answer
    x = 58,451.78

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1.5x scale

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.