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Finding the Fourth Proportional to 46,971, 64,854 and 30,233.16

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Solution

The fourth proportional to 46,971, 64,854 and 30,233.16 is: 41,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971 : 64,854 = 30,233.16 : x
  2. Step 2: Convert to fraction form
    46,971/64,854 = 30,233.16/x
  3. Step 3: Cross multiply
    46,971x = 64,854 × 30,233.16
  4. Step 4: Simplify right side
    46,971x = 1,960,741,358.64
  5. Step 5: Solve for x
    x = 1,960,741,358.64/46,971
  6. Step 6: Final answer
    x = 41,743.66

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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.