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Finding the Fourth Proportional to 35,702.72, 49,271.41 and 19,787.17

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Solution

The fourth proportional to 35,702.72, 49,271.41 and 19,787.17 is: 27,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.72 : 49,271.41 = 19,787.17 : x
  2. Step 2: Convert to fraction form
    35,702.72/49,271.41 = 19,787.17/x
  3. Step 3: Cross multiply
    35,702.72x = 49,271.41 × 19,787.17
  4. Step 4: Simplify right side
    35,702.72x = 974,941,765.81
  5. Step 5: Solve for x
    x = 974,941,765.81/35,702.72
  6. Step 6: Final answer
    x = 27,307.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.