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Finding the Fourth Proportional to 51,373, 77,059.50 and 14,437

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Solution

The fourth proportional to 51,373, 77,059.50 and 14,437 is: 21,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,373 : 77,059.50 = 14,437 : x
  2. Step 2: Convert to fraction form
    51,373/77,059.50 = 14,437/x
  3. Step 3: Cross multiply
    51,373x = 77,059.50 × 14,437
  4. Step 4: Simplify right side
    51,373x = 1,112,508,001.50
  5. Step 5: Solve for x
    x = 1,112,508,001.50/51,373
  6. Step 6: Final answer
    x = 21,655.50

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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.