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Finding the Fourth Proportional to 35,530.50, 49,026.51 and 20,420.25

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Solution

The fourth proportional to 35,530.50, 49,026.51 and 20,420.25 is: 28,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530.50 : 49,026.51 = 20,420.25 : x
  2. Step 2: Convert to fraction form
    35,530.50/49,026.51 = 20,420.25/x
  3. Step 3: Cross multiply
    35,530.50x = 49,026.51 × 20,420.25
  4. Step 4: Simplify right side
    35,530.50x = 1,001,133,590.83
  5. Step 5: Solve for x
    x = 1,001,133,590.83/35,530.50
  6. Step 6: Final answer
    x = 28,176.74

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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.