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Finding the Fourth Proportional to 53,746.56, 80,619.93 and 20,458.98

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Solution

The fourth proportional to 53,746.56, 80,619.93 and 20,458.98 is: 30,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,746.56 : 80,619.93 = 20,458.98 : x
  2. Step 2: Convert to fraction form
    53,746.56/80,619.93 = 20,458.98/x
  3. Step 3: Cross multiply
    53,746.56x = 80,619.93 × 20,458.98
  4. Step 4: Simplify right side
    53,746.56x = 1,649,401,535.47
  5. Step 5: Solve for x
    x = 1,649,401,535.47/53,746.56
  6. Step 6: Final answer
    x = 30,688.50

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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.