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Finding the Fourth Proportional to 51,497.64, 77,237.82 and 14,553

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Solution

The fourth proportional to 51,497.64, 77,237.82 and 14,553 is: 21,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.64 : 77,237.82 = 14,553 : x
  2. Step 2: Convert to fraction form
    51,497.64/77,237.82 = 14,553/x
  3. Step 3: Cross multiply
    51,497.64x = 77,237.82 × 14,553
  4. Step 4: Simplify right side
    51,497.64x = 1,124,041,994.46
  5. Step 5: Solve for x
    x = 1,124,041,994.46/51,497.64
  6. Step 6: Final answer
    x = 21,827.06

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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.