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Finding the Fourth Proportional to 35,682, 53,526.04 and 11,058

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Solution

The fourth proportional to 35,682, 53,526.04 and 11,058 is: 16,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682 : 53,526.04 = 11,058 : x
  2. Step 2: Convert to fraction form
    35,682/53,526.04 = 11,058/x
  3. Step 3: Cross multiply
    35,682x = 53,526.04 × 11,058
  4. Step 4: Simplify right side
    35,682x = 591,890,950.32
  5. Step 5: Solve for x
    x = 591,890,950.32/35,682
  6. Step 6: Final answer
    x = 16,587.94

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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.