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Finding the Fourth Proportional to 77,464, 115,975.68 and 51,088.32

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Solution

The fourth proportional to 77,464, 115,975.68 and 51,088.32 is: 76,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,464 : 115,975.68 = 51,088.32 : x
  2. Step 2: Convert to fraction form
    77,464/115,975.68 = 51,088.32/x
  3. Step 3: Cross multiply
    77,464x = 115,975.68 × 51,088.32
  4. Step 4: Simplify right side
    77,464x = 5,925,002,652.06
  5. Step 5: Solve for x
    x = 5,925,002,652.06/77,464
  6. Step 6: Final answer
    x = 76,487.18

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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.