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Finding the Fourth Proportional to 46,567.36, 69,849.76 and 11,506.24

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Solution

The fourth proportional to 46,567.36, 69,849.76 and 11,506.24 is: 17,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,567.36 : 69,849.76 = 11,506.24 : x
  2. Step 2: Convert to fraction form
    46,567.36/69,849.76 = 11,506.24/x
  3. Step 3: Cross multiply
    46,567.36x = 69,849.76 × 11,506.24
  4. Step 4: Simplify right side
    46,567.36x = 803,708,102.50
  5. Step 5: Solve for x
    x = 803,708,102.50/46,567.36
  6. Step 6: Final answer
    x = 17,259.04

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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.