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Finding the Fourth Proportional to 54,762.90, 82,156.56 and 19,702.50

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Solution

The fourth proportional to 54,762.90, 82,156.56 and 19,702.50 is: 29,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.90 : 82,156.56 = 19,702.50 : x
  2. Step 2: Convert to fraction form
    54,762.90/82,156.56 = 19,702.50/x
  3. Step 3: Cross multiply
    54,762.90x = 82,156.56 × 19,702.50
  4. Step 4: Simplify right side
    54,762.90x = 1,618,689,623.40
  5. Step 5: Solve for x
    x = 1,618,689,623.40/54,762.90
  6. Step 6: Final answer
    x = 29,558.14

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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.