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Finding the Fourth Proportional to 42,178.56, 58,203.36 and 23,316

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Solution

The fourth proportional to 42,178.56, 58,203.36 and 23,316 is: 32,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178.56 : 58,203.36 = 23,316 : x
  2. Step 2: Convert to fraction form
    42,178.56/58,203.36 = 23,316/x
  3. Step 3: Cross multiply
    42,178.56x = 58,203.36 × 23,316
  4. Step 4: Simplify right side
    42,178.56x = 1,357,069,541.76
  5. Step 5: Solve for x
    x = 1,357,069,541.76/42,178.56
  6. Step 6: Final answer
    x = 32,174.39

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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.