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Finding the Fourth Proportional to 31,985.95, 48,020.51 and 24,595.60

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Solution

The fourth proportional to 31,985.95, 48,020.51 and 24,595.60 is: 36,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.95 : 48,020.51 = 24,595.60 : x
  2. Step 2: Convert to fraction form
    31,985.95/48,020.51 = 24,595.60/x
  3. Step 3: Cross multiply
    31,985.95x = 48,020.51 × 24,595.60
  4. Step 4: Simplify right side
    31,985.95x = 1,181,093,204.33
  5. Step 5: Solve for x
    x = 1,181,093,204.33/31,985.95
  6. Step 6: Final answer
    x = 36,925.37

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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.