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Finding the Fourth Proportional to 52,055.82, 78,117.84 and 20,893.50

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Solution

The fourth proportional to 52,055.82, 78,117.84 and 20,893.50 is: 31,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.82 : 78,117.84 = 20,893.50 : x
  2. Step 2: Convert to fraction form
    52,055.82/78,117.84 = 20,893.50/x
  3. Step 3: Cross multiply
    52,055.82x = 78,117.84 × 20,893.50
  4. Step 4: Simplify right side
    52,055.82x = 1,632,155,090.04
  5. Step 5: Solve for x
    x = 1,632,155,090.04/52,055.82
  6. Step 6: Final answer
    x = 31,353.94

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1.5x scale

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.