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Finding the Fourth Proportional to 47,235.84, 65,164.80 and 28,362

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Solution

The fourth proportional to 47,235.84, 65,164.80 and 28,362 is: 39,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,235.84 : 65,164.80 = 28,362 : x
  2. Step 2: Convert to fraction form
    47,235.84/65,164.80 = 28,362/x
  3. Step 3: Cross multiply
    47,235.84x = 65,164.80 × 28,362
  4. Step 4: Simplify right side
    47,235.84x = 1,848,204,057.60
  5. Step 5: Solve for x
    x = 1,848,204,057.60/47,235.84
  6. Step 6: Final answer
    x = 39,127.16

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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.