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Finding the Fourth Proportional to 47,368.16, 65,391.72 and 29,469

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Solution

The fourth proportional to 47,368.16, 65,391.72 and 29,469 is: 40,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368.16 : 65,391.72 = 29,469 : x
  2. Step 2: Convert to fraction form
    47,368.16/65,391.72 = 29,469/x
  3. Step 3: Cross multiply
    47,368.16x = 65,391.72 × 29,469
  4. Step 4: Simplify right side
    47,368.16x = 1,927,028,596.68
  5. Step 5: Solve for x
    x = 1,927,028,596.68/47,368.16
  6. Step 6: Final answer
    x = 40,681.94

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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.