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Finding the Fourth Proportional to 46,433, 64,077.54 and 26,561

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Solution

The fourth proportional to 46,433, 64,077.54 and 26,561 is: 36,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,433 : 64,077.54 = 26,561 : x
  2. Step 2: Convert to fraction form
    46,433/64,077.54 = 26,561/x
  3. Step 3: Cross multiply
    46,433x = 64,077.54 × 26,561
  4. Step 4: Simplify right side
    46,433x = 1,701,963,539.94
  5. Step 5: Solve for x
    x = 1,701,963,539.94/46,433
  6. Step 6: Final answer
    x = 36,654.18

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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.