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Finding the Fourth Proportional to 27,628.56, 41,460.56 and 27,526.50

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Solution

The fourth proportional to 27,628.56, 41,460.56 and 27,526.50 is: 41,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.56 : 41,460.56 = 27,526.50 : x
  2. Step 2: Convert to fraction form
    27,628.56/41,460.56 = 27,526.50/x
  3. Step 3: Cross multiply
    27,628.56x = 41,460.56 × 27,526.50
  4. Step 4: Simplify right side
    27,628.56x = 1,141,264,070.43
  5. Step 5: Solve for x
    x = 1,141,264,070.43/27,628.56
  6. Step 6: Final answer
    x = 41,307.40

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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.