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Finding the Fourth Proportional to 51,657, 77,498.46 and 14,721

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Solution

The fourth proportional to 51,657, 77,498.46 and 14,721 is: 22,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,657 : 77,498.46 = 14,721 : x
  2. Step 2: Convert to fraction form
    51,657/77,498.46 = 14,721/x
  3. Step 3: Cross multiply
    51,657x = 77,498.46 × 14,721
  4. Step 4: Simplify right side
    51,657x = 1,140,854,829.66
  5. Step 5: Solve for x
    x = 1,140,854,829.66/51,657
  6. Step 6: Final answer
    x = 22,085.19

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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.