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Finding the Fourth Proportional to 42,316.56, 58,398.84 and 23,454

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Solution

The fourth proportional to 42,316.56, 58,398.84 and 23,454 is: 32,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,316.56 : 58,398.84 = 23,454 : x
  2. Step 2: Convert to fraction form
    42,316.56/58,398.84 = 23,454/x
  3. Step 3: Cross multiply
    42,316.56x = 58,398.84 × 23,454
  4. Step 4: Simplify right side
    42,316.56x = 1,369,686,393.36
  5. Step 5: Solve for x
    x = 1,369,686,393.36/42,316.56
  6. Step 6: Final answer
    x = 32,367.62

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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.