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Finding the Fourth Proportional to 99,788, 137,707.62 and 55,076

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Solution

The fourth proportional to 99,788, 137,707.62 and 55,076 is: 76,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,788 : 137,707.62 = 55,076 : x
  2. Step 2: Convert to fraction form
    99,788/137,707.62 = 55,076/x
  3. Step 3: Cross multiply
    99,788x = 137,707.62 × 55,076
  4. Step 4: Simplify right side
    99,788x = 7,584,384,879.12
  5. Step 5: Solve for x
    x = 7,584,384,879.12/99,788
  6. Step 6: Final answer
    x = 76,004.98

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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.