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Finding the Fourth Proportional to 42,509.84, 58,662 and 23,646.56

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Solution

The fourth proportional to 42,509.84, 58,662 and 23,646.56 is: 32,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509.84 : 58,662 = 23,646.56 : x
  2. Step 2: Convert to fraction form
    42,509.84/58,662 = 23,646.56/x
  3. Step 3: Cross multiply
    42,509.84x = 58,662 × 23,646.56
  4. Step 4: Simplify right side
    42,509.84x = 1,387,154,502.72
  5. Step 5: Solve for x
    x = 1,387,154,502.72/42,509.84
  6. Step 6: Final answer
    x = 32,631.37

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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.