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Finding the Fourth Proportional to 46,430.88, 69,522.72 and 31,668.96

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Solution

The fourth proportional to 46,430.88, 69,522.72 and 31,668.96 is: 47,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,430.88 : 69,522.72 = 31,668.96 : x
  2. Step 2: Convert to fraction form
    46,430.88/69,522.72 = 31,668.96/x
  3. Step 3: Cross multiply
    46,430.88x = 69,522.72 × 31,668.96
  4. Step 4: Simplify right side
    46,430.88x = 2,201,712,238.77
  5. Step 5: Solve for x
    x = 2,201,712,238.77/46,430.88
  6. Step 6: Final answer
    x = 47,419.14

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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.