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Finding the Fourth Proportional to 31,070.56, 46,602.60 and 8,882.50

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Solution

The fourth proportional to 31,070.56, 46,602.60 and 8,882.50 is: 13,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.56 : 46,602.60 = 8,882.50 : x
  2. Step 2: Convert to fraction form
    31,070.56/46,602.60 = 8,882.50/x
  3. Step 3: Cross multiply
    31,070.56x = 46,602.60 × 8,882.50
  4. Step 4: Simplify right side
    31,070.56x = 413,947,594.50
  5. Step 5: Solve for x
    x = 413,947,594.50/31,070.56
  6. Step 6: Final answer
    x = 13,322.82

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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.