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Finding the Fourth Proportional to 49,818.24, 74,702.88 and 16,527

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Solution

The fourth proportional to 49,818.24, 74,702.88 and 16,527 is: 24,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,818.24 : 74,702.88 = 16,527 : x
  2. Step 2: Convert to fraction form
    49,818.24/74,702.88 = 16,527/x
  3. Step 3: Cross multiply
    49,818.24x = 74,702.88 × 16,527
  4. Step 4: Simplify right side
    49,818.24x = 1,234,614,497.76
  5. Step 5: Solve for x
    x = 1,234,614,497.76/49,818.24
  6. Step 6: Final answer
    x = 24,782.38

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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.