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Finding the Fourth Proportional to 101,096, 139,512.48 and 56,384

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Solution

The fourth proportional to 101,096, 139,512.48 and 56,384 is: 77,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,096 : 139,512.48 = 56,384 : x
  2. Step 2: Convert to fraction form
    101,096/139,512.48 = 56,384/x
  3. Step 3: Cross multiply
    101,096x = 139,512.48 × 56,384
  4. Step 4: Simplify right side
    101,096x = 7,866,271,672.32
  5. Step 5: Solve for x
    x = 7,866,271,672.32/101,096
  6. Step 6: Final answer
    x = 77,809.92

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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.