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Finding the Fourth Proportional to 42,687.37, 64,017.21 and 14,216.74

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Solution

The fourth proportional to 42,687.37, 64,017.21 and 14,216.74 is: 21,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687.37 : 64,017.21 = 14,216.74 : x
  2. Step 2: Convert to fraction form
    42,687.37/64,017.21 = 14,216.74/x
  3. Step 3: Cross multiply
    42,687.37x = 64,017.21 × 14,216.74
  4. Step 4: Simplify right side
    42,687.37x = 910,116,030.10
  5. Step 5: Solve for x
    x = 910,116,030.10/42,687.37
  6. Step 6: Final answer
    x = 21,320.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.