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Finding the Fourth Proportional to 35,670.29, 53,494.47 and 28,633.64

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Solution

The fourth proportional to 35,670.29, 53,494.47 and 28,633.64 is: 42,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670.29 : 53,494.47 = 28,633.64 : x
  2. Step 2: Convert to fraction form
    35,670.29/53,494.47 = 28,633.64/x
  3. Step 3: Cross multiply
    35,670.29x = 53,494.47 × 28,633.64
  4. Step 4: Simplify right side
    35,670.29x = 1,531,741,128.50
  5. Step 5: Solve for x
    x = 1,531,741,128.50/35,670.29
  6. Step 6: Final answer
    x = 42,941.66

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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.