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Finding the Fourth Proportional to 56,466.30, 77,924.34 and 30,975.15

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Solution

The fourth proportional to 56,466.30, 77,924.34 and 30,975.15 is: 42,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,466.30 : 77,924.34 = 30,975.15 : x
  2. Step 2: Convert to fraction form
    56,466.30/77,924.34 = 30,975.15/x
  3. Step 3: Cross multiply
    56,466.30x = 77,924.34 × 30,975.15
  4. Step 4: Simplify right side
    56,466.30x = 2,413,718,120.15
  5. Step 5: Solve for x
    x = 2,413,718,120.15/56,466.30
  6. Step 6: Final answer
    x = 42,746.17

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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.