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Finding the Fourth Proportional to 35,225.20, 48,618.84 and 24,046

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Solution

The fourth proportional to 35,225.20, 48,618.84 and 24,046 is: 33,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,225.20 : 48,618.84 = 24,046 : x
  2. Step 2: Convert to fraction form
    35,225.20/48,618.84 = 24,046/x
  3. Step 3: Cross multiply
    35,225.20x = 48,618.84 × 24,046
  4. Step 4: Simplify right side
    35,225.20x = 1,169,088,626.64
  5. Step 5: Solve for x
    x = 1,169,088,626.64/35,225.20
  6. Step 6: Final answer
    x = 33,188.98

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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.