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Finding the Fourth Proportional to 27,045.50, 40,574.73 and 8,577.50

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Solution

The fourth proportional to 27,045.50, 40,574.73 and 8,577.50 is: 12,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045.50 : 40,574.73 = 8,577.50 : x
  2. Step 2: Convert to fraction form
    27,045.50/40,574.73 = 8,577.50/x
  3. Step 3: Cross multiply
    27,045.50x = 40,574.73 × 8,577.50
  4. Step 4: Simplify right side
    27,045.50x = 348,029,746.58
  5. Step 5: Solve for x
    x = 348,029,746.58/27,045.50
  6. Step 6: Final answer
    x = 12,868.31

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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.