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Finding the Fourth Proportional to 42,364, 58,462.32 and 23,501.26

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Solution

The fourth proportional to 42,364, 58,462.32 and 23,501.26 is: 32,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364 : 58,462.32 = 23,501.26 : x
  2. Step 2: Convert to fraction form
    42,364/58,462.32 = 23,501.26/x
  3. Step 3: Cross multiply
    42,364x = 58,462.32 × 23,501.26
  4. Step 4: Simplify right side
    42,364x = 1,373,938,182.52
  5. Step 5: Solve for x
    x = 1,373,938,182.52/42,364
  6. Step 6: Final answer
    x = 32,431.74

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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.