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Finding the Fourth Proportional to 55,762.56, 83,643.82 and 18,312.57

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Solution

The fourth proportional to 55,762.56, 83,643.82 and 18,312.57 is: 27,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.56 : 83,643.82 = 18,312.57 : x
  2. Step 2: Convert to fraction form
    55,762.56/83,643.82 = 18,312.57/x
  3. Step 3: Cross multiply
    55,762.56x = 83,643.82 × 18,312.57
  4. Step 4: Simplify right side
    55,762.56x = 1,531,733,263.04
  5. Step 5: Solve for x
    x = 1,531,733,263.04/55,762.56
  6. Step 6: Final answer
    x = 27,468.85

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Why These Related Problems?

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