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Finding the Fourth Proportional to 55,838.50, 77,057.13 and 30,688

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Solution

The fourth proportional to 55,838.50, 77,057.13 and 30,688 is: 42,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,838.50 : 77,057.13 = 30,688 : x
  2. Step 2: Convert to fraction form
    55,838.50/77,057.13 = 30,688/x
  3. Step 3: Cross multiply
    55,838.50x = 77,057.13 × 30,688
  4. Step 4: Simplify right side
    55,838.50x = 2,364,729,205.44
  5. Step 5: Solve for x
    x = 2,364,729,205.44/55,838.50
  6. Step 6: Final answer
    x = 42,349.44

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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.