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Finding the Fourth Proportional to 61,870.30, 92,742.03 and 24,415.22

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Solution

The fourth proportional to 61,870.30, 92,742.03 and 24,415.22 is: 36,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,870.30 : 92,742.03 = 24,415.22 : x
  2. Step 2: Convert to fraction form
    61,870.30/92,742.03 = 24,415.22/x
  3. Step 3: Cross multiply
    61,870.30x = 92,742.03 × 24,415.22
  4. Step 4: Simplify right side
    61,870.30x = 2,264,317,297.55
  5. Step 5: Solve for x
    x = 2,264,317,297.55/61,870.30
  6. Step 6: Final answer
    x = 36,597.81

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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.