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Finding the Fourth Proportional to 43,910.64, 65,875.14 and 14,330.16

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Solution

The fourth proportional to 43,910.64, 65,875.14 and 14,330.16 is: 21,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,910.64 : 65,875.14 = 14,330.16 : x
  2. Step 2: Convert to fraction form
    43,910.64/65,875.14 = 14,330.16/x
  3. Step 3: Cross multiply
    43,910.64x = 65,875.14 × 14,330.16
  4. Step 4: Simplify right side
    43,910.64x = 944,001,296.22
  5. Step 5: Solve for x
    x = 944,001,296.22/43,910.64
  6. Step 6: Final answer
    x = 21,498.24

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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.