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Finding the Fourth Proportional to 42,476.01, 63,713.72 and 14,415.82

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Solution

The fourth proportional to 42,476.01, 63,713.72 and 14,415.82 is: 21,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,476.01 : 63,713.72 = 14,415.82 : x
  2. Step 2: Convert to fraction form
    42,476.01/63,713.72 = 14,415.82/x
  3. Step 3: Cross multiply
    42,476.01x = 63,713.72 × 14,415.82
  4. Step 4: Simplify right side
    42,476.01x = 918,485,395.81
  5. Step 5: Solve for x
    x = 918,485,395.81/42,476.01
  6. Step 6: Final answer
    x = 21,623.63

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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.