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Finding the Fourth Proportional to 46,962, 64,807.56 and 25,741.42

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Solution

The fourth proportional to 46,962, 64,807.56 and 25,741.42 is: 35,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,962 : 64,807.56 = 25,741.42 : x
  2. Step 2: Convert to fraction form
    46,962/64,807.56 = 25,741.42/x
  3. Step 3: Cross multiply
    46,962x = 64,807.56 × 25,741.42
  4. Step 4: Simplify right side
    46,962x = 1,668,238,459.12
  5. Step 5: Solve for x
    x = 1,668,238,459.12/46,962
  6. Step 6: Final answer
    x = 35,523.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.