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Finding the Fourth Proportional to 76,386.46, 105,411.73 and 42,392.97

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Solution

The fourth proportional to 76,386.46, 105,411.73 and 42,392.97 is: 58,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.46 : 105,411.73 = 42,392.97 : x
  2. Step 2: Convert to fraction form
    76,386.46/105,411.73 = 42,392.97/x
  3. Step 3: Cross multiply
    76,386.46x = 105,411.73 × 42,392.97
  4. Step 4: Simplify right side
    76,386.46x = 4,468,716,214.45
  5. Step 5: Solve for x
    x = 4,468,716,214.45/76,386.46
  6. Step 6: Final answer
    x = 58,501.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.