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Finding the Fourth Proportional to 42,328.36, 58,410.48 and 23,464

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Solution

The fourth proportional to 42,328.36, 58,410.48 and 23,464 is: 32,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,328.36 : 58,410.48 = 23,464 : x
  2. Step 2: Convert to fraction form
    42,328.36/58,410.48 = 23,464/x
  3. Step 3: Cross multiply
    42,328.36x = 58,410.48 × 23,464
  4. Step 4: Simplify right side
    42,328.36x = 1,370,543,502.72
  5. Step 5: Solve for x
    x = 1,370,543,502.72/42,328.36
  6. Step 6: Final answer
    x = 32,378.85

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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.