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Finding the Fourth Proportional to 51,038.98, 70,423.49 and 29,814.14

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Solution

The fourth proportional to 51,038.98, 70,423.49 and 29,814.14 is: 41,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,038.98 : 70,423.49 = 29,814.14 : x
  2. Step 2: Convert to fraction form
    51,038.98/70,423.49 = 29,814.14/x
  3. Step 3: Cross multiply
    51,038.98x = 70,423.49 × 29,814.14
  4. Step 4: Simplify right side
    51,038.98x = 2,099,616,040.74
  5. Step 5: Solve for x
    x = 2,099,616,040.74/51,038.98
  6. Step 6: Final answer
    x = 41,137.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.