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Finding the Fourth Proportional to 30,700.50, 46,058.31 and 9,924

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Solution

The fourth proportional to 30,700.50, 46,058.31 and 9,924 is: 14,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.50 : 46,058.31 = 9,924 : x
  2. Step 2: Convert to fraction form
    30,700.50/46,058.31 = 9,924/x
  3. Step 3: Cross multiply
    30,700.50x = 46,058.31 × 9,924
  4. Step 4: Simplify right side
    30,700.50x = 457,082,668.44
  5. Step 5: Solve for x
    x = 457,082,668.44/30,700.50
  6. Step 6: Final answer
    x = 14,888.44

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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.