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Finding the Fourth Proportional to 46,008.64, 69,012.81 and 14,421.10

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Solution

The fourth proportional to 46,008.64, 69,012.81 and 14,421.10 is: 21,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008.64 : 69,012.81 = 14,421.10 : x
  2. Step 2: Convert to fraction form
    46,008.64/69,012.81 = 14,421.10/x
  3. Step 3: Cross multiply
    46,008.64x = 69,012.81 × 14,421.10
  4. Step 4: Simplify right side
    46,008.64x = 995,240,634.29
  5. Step 5: Solve for x
    x = 995,240,634.29/46,008.64
  6. Step 6: Final answer
    x = 21,631.60

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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.