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Finding the Fourth Proportional to 42,078.96, 58,068.84 and 23,216.10

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Solution

The fourth proportional to 42,078.96, 58,068.84 and 23,216.10 is: 32,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,078.96 : 58,068.84 = 23,216.10 : x
  2. Step 2: Convert to fraction form
    42,078.96/58,068.84 = 23,216.10/x
  3. Step 3: Cross multiply
    42,078.96x = 58,068.84 × 23,216.10
  4. Step 4: Simplify right side
    42,078.96x = 1,348,131,996.32
  5. Step 5: Solve for x
    x = 1,348,131,996.32/42,078.96
  6. Step 6: Final answer
    x = 32,038.15

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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.