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Finding the Fourth Proportional to 57,802.48, 86,620.50 and 34,054

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Solution

The fourth proportional to 57,802.48, 86,620.50 and 34,054 is: 51,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.48 : 86,620.50 = 34,054 : x
  2. Step 2: Convert to fraction form
    57,802.48/86,620.50 = 34,054/x
  3. Step 3: Cross multiply
    57,802.48x = 86,620.50 × 34,054
  4. Step 4: Simplify right side
    57,802.48x = 2,949,774,507
  5. Step 5: Solve for x
    x = 2,949,774,507/57,802.48
  6. Step 6: Final answer
    x = 51,031.97

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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.