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Finding the Fourth Proportional to 31,804.76, 47,473.76 and 29,459

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Solution

The fourth proportional to 31,804.76, 47,473.76 and 29,459 is: 43,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.76 : 47,473.76 = 29,459 : x
  2. Step 2: Convert to fraction form
    31,804.76/47,473.76 = 29,459/x
  3. Step 3: Cross multiply
    31,804.76x = 47,473.76 × 29,459
  4. Step 4: Simplify right side
    31,804.76x = 1,398,529,495.84
  5. Step 5: Solve for x
    x = 1,398,529,495.84/31,804.76
  6. Step 6: Final answer
    x = 43,972.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.