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Finding the Fourth Proportional to 45,688, 63,049.44 and 25,816

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Solution

The fourth proportional to 45,688, 63,049.44 and 25,816 is: 35,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688 : 63,049.44 = 25,816 : x
  2. Step 2: Convert to fraction form
    45,688/63,049.44 = 25,816/x
  3. Step 3: Cross multiply
    45,688x = 63,049.44 × 25,816
  4. Step 4: Simplify right side
    45,688x = 1,627,684,343.04
  5. Step 5: Solve for x
    x = 1,627,684,343.04/45,688
  6. Step 6: Final answer
    x = 35,626.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.