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Finding the Fourth Proportional to 47,762.70, 71,643.97 and 12,702.36

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Solution

The fourth proportional to 47,762.70, 71,643.97 and 12,702.36 is: 19,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762.70 : 71,643.97 = 12,702.36 : x
  2. Step 2: Convert to fraction form
    47,762.70/71,643.97 = 12,702.36/x
  3. Step 3: Cross multiply
    47,762.70x = 71,643.97 × 12,702.36
  4. Step 4: Simplify right side
    47,762.70x = 910,047,498.77
  5. Step 5: Solve for x
    x = 910,047,498.77/47,762.70
  6. Step 6: Final answer
    x = 19,053.52

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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.