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Finding the Fourth Proportional to 76,354.54, 105,389.31 and 42,831.34

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Solution

The fourth proportional to 76,354.54, 105,389.31 and 42,831.34 is: 59,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.54 : 105,389.31 = 42,831.34 : x
  2. Step 2: Convert to fraction form
    76,354.54/105,389.31 = 42,831.34/x
  3. Step 3: Cross multiply
    76,354.54x = 105,389.31 × 42,831.34
  4. Step 4: Simplify right side
    76,354.54x = 4,513,965,368.98
  5. Step 5: Solve for x
    x = 4,513,965,368.98/76,354.54
  6. Step 6: Final answer
    x = 59,118.49

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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.