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Finding the Fourth Proportional to 76,488, 114,731.10 and 53,905.92

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Solution

The fourth proportional to 76,488, 114,731.10 and 53,905.92 is: 80,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488 : 114,731.10 = 53,905.92 : x
  2. Step 2: Convert to fraction form
    76,488/114,731.10 = 53,905.92/x
  3. Step 3: Cross multiply
    76,488x = 114,731.10 × 53,905.92
  4. Step 4: Simplify right side
    76,488x = 6,184,685,498.11
  5. Step 5: Solve for x
    x = 6,184,685,498.11/76,488
  6. Step 6: Final answer
    x = 80,858.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.