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Finding the Fourth Proportional to 35,894.76, 53,830.64 and 11,874.60

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Solution

The fourth proportional to 35,894.76, 53,830.64 and 11,874.60 is: 17,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.76 : 53,830.64 = 11,874.60 : x
  2. Step 2: Convert to fraction form
    35,894.76/53,830.64 = 11,874.60/x
  3. Step 3: Cross multiply
    35,894.76x = 53,830.64 × 11,874.60
  4. Step 4: Simplify right side
    35,894.76x = 639,217,317.74
  5. Step 5: Solve for x
    x = 639,217,317.74/35,894.76
  6. Step 6: Final answer
    x = 17,808.10

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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.