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Finding the Fourth Proportional to 35,624.96, 53,437.44 and 14,848

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Solution

The fourth proportional to 35,624.96, 53,437.44 and 14,848 is: 22,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.96 : 53,437.44 = 14,848 : x
  2. Step 2: Convert to fraction form
    35,624.96/53,437.44 = 14,848/x
  3. Step 3: Cross multiply
    35,624.96x = 53,437.44 × 14,848
  4. Step 4: Simplify right side
    35,624.96x = 793,439,109.12
  5. Step 5: Solve for x
    x = 793,439,109.12/35,624.96
  6. Step 6: Final answer
    x = 22,272

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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.