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Finding the Fourth Proportional to 34,058.88, 51,088.32 and 14,337

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Solution

The fourth proportional to 34,058.88, 51,088.32 and 14,337 is: 21,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058.88 : 51,088.32 = 14,337 : x
  2. Step 2: Convert to fraction form
    34,058.88/51,088.32 = 14,337/x
  3. Step 3: Cross multiply
    34,058.88x = 51,088.32 × 14,337
  4. Step 4: Simplify right side
    34,058.88x = 732,453,243.84
  5. Step 5: Solve for x
    x = 732,453,243.84/34,058.88
  6. Step 6: Final answer
    x = 21,505.50

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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.