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Finding the Fourth Proportional to 78,642, 108,524.76 and 42,831.12

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Solution

The fourth proportional to 78,642, 108,524.76 and 42,831.12 is: 59,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642 : 108,524.76 = 42,831.12 : x
  2. Step 2: Convert to fraction form
    78,642/108,524.76 = 42,831.12/x
  3. Step 3: Cross multiply
    78,642x = 108,524.76 × 42,831.12
  4. Step 4: Simplify right side
    78,642x = 4,648,237,018.53
  5. Step 5: Solve for x
    x = 4,648,237,018.53/78,642
  6. Step 6: Final answer
    x = 59,106.29

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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.