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Finding the Fourth Proportional to 45,606.30, 68,402.61 and 14,437.50

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Solution

The fourth proportional to 45,606.30, 68,402.61 and 14,437.50 is: 21,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,606.30 : 68,402.61 = 14,437.50 : x
  2. Step 2: Convert to fraction form
    45,606.30/68,402.61 = 14,437.50/x
  3. Step 3: Cross multiply
    45,606.30x = 68,402.61 × 14,437.50
  4. Step 4: Simplify right side
    45,606.30x = 987,562,681.88
  5. Step 5: Solve for x
    x = 987,562,681.88/45,606.30
  6. Step 6: Final answer
    x = 21,654.08

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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.