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Finding the Fourth Proportional to 99,977.49, 137,977.47 and 56,970.12

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Solution

The fourth proportional to 99,977.49, 137,977.47 and 56,970.12 is: 78,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,977.49 : 137,977.47 = 56,970.12 : x
  2. Step 2: Convert to fraction form
    99,977.49/137,977.47 = 56,970.12/x
  3. Step 3: Cross multiply
    99,977.49x = 137,977.47 × 56,970.12
  4. Step 4: Simplify right side
    99,977.49x = 7,860,593,023.20
  5. Step 5: Solve for x
    x = 7,860,593,023.20/99,977.49
  6. Step 6: Final answer
    x = 78,623.63

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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.