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Finding the Fourth Proportional to 103,858.24, 155,810.40 and 48,424

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Solution

The fourth proportional to 103,858.24, 155,810.40 and 48,424 is: 72,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,858.24 : 155,810.40 = 48,424 : x
  2. Step 2: Convert to fraction form
    103,858.24/155,810.40 = 48,424/x
  3. Step 3: Cross multiply
    103,858.24x = 155,810.40 × 48,424
  4. Step 4: Simplify right side
    103,858.24x = 7,544,962,809.60
  5. Step 5: Solve for x
    x = 7,544,962,809.60/103,858.24
  6. Step 6: Final answer
    x = 72,646.74

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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.