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Finding the Fourth Proportional to 51,762.81, 77,641.47 and 16,702.47

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Solution

The fourth proportional to 51,762.81, 77,641.47 and 16,702.47 is: 25,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.81 : 77,641.47 = 16,702.47 : x
  2. Step 2: Convert to fraction form
    51,762.81/77,641.47 = 16,702.47/x
  3. Step 3: Cross multiply
    51,762.81x = 77,641.47 × 16,702.47
  4. Step 4: Simplify right side
    51,762.81x = 1,296,804,323.43
  5. Step 5: Solve for x
    x = 1,296,804,323.43/51,762.81
  6. Step 6: Final answer
    x = 25,052.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.