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Finding the Fourth Proportional to 42,079.77, 58,068.36 and 23,216.88

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Solution

The fourth proportional to 42,079.77, 58,068.36 and 23,216.88 is: 32,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,079.77 : 58,068.36 = 23,216.88 : x
  2. Step 2: Convert to fraction form
    42,079.77/58,068.36 = 23,216.88/x
  3. Step 3: Cross multiply
    42,079.77x = 58,068.36 × 23,216.88
  4. Step 4: Simplify right side
    42,079.77x = 1,348,166,145.92
  5. Step 5: Solve for x
    x = 1,348,166,145.92/42,079.77
  6. Step 6: Final answer
    x = 32,038.34

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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.