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Finding the Fourth Proportional to 29,595.70, 44,400.24 and 9,875.02

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Solution

The fourth proportional to 29,595.70, 44,400.24 and 9,875.02 is: 14,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,595.70 : 44,400.24 = 9,875.02 : x
  2. Step 2: Convert to fraction form
    29,595.70/44,400.24 = 9,875.02/x
  3. Step 3: Cross multiply
    29,595.70x = 44,400.24 × 9,875.02
  4. Step 4: Simplify right side
    29,595.70x = 438,453,258.00
  5. Step 5: Solve for x
    x = 438,453,258.00/29,595.70
  6. Step 6: Final answer
    x = 14,814.76

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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.