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Finding the Fourth Proportional to 103,854.24, 155,804.40 and 48,420

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Solution

The fourth proportional to 103,854.24, 155,804.40 and 48,420 is: 72,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854.24 : 155,804.40 = 48,420 : x
  2. Step 2: Convert to fraction form
    103,854.24/155,804.40 = 48,420/x
  3. Step 3: Cross multiply
    103,854.24x = 155,804.40 × 48,420
  4. Step 4: Simplify right side
    103,854.24x = 7,544,049,048
  5. Step 5: Solve for x
    x = 7,544,049,048/103,854.24
  6. Step 6: Final answer
    x = 72,640.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.