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Finding the Fourth Proportional to 35,971.64, 53,950.92 and 9,670.24

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Solution

The fourth proportional to 35,971.64, 53,950.92 and 9,670.24 is: 14,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.64 : 53,950.92 = 9,670.24 : x
  2. Step 2: Convert to fraction form
    35,971.64/53,950.92 = 9,670.24/x
  3. Step 3: Cross multiply
    35,971.64x = 53,950.92 × 9,670.24
  4. Step 4: Simplify right side
    35,971.64x = 521,718,344.62
  5. Step 5: Solve for x
    x = 521,718,344.62/35,971.64
  6. Step 6: Final answer
    x = 14,503.60

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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.