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Finding the Fourth Proportional to 46,829.76, 64,623 and 26,691

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Solution

The fourth proportional to 46,829.76, 64,623 and 26,691 is: 36,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,829.76 : 64,623 = 26,691 : x
  2. Step 2: Convert to fraction form
    46,829.76/64,623 = 26,691/x
  3. Step 3: Cross multiply
    46,829.76x = 64,623 × 26,691
  4. Step 4: Simplify right side
    46,829.76x = 1,724,852,493
  5. Step 5: Solve for x
    x = 1,724,852,493/46,829.76
  6. Step 6: Final answer
    x = 36,832.40

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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.