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Finding the Fourth Proportional to 46,590.66, 69,900.53 and 29,969.46

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Solution

The fourth proportional to 46,590.66, 69,900.53 and 29,969.46 is: 44,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,590.66 : 69,900.53 = 29,969.46 : x
  2. Step 2: Convert to fraction form
    46,590.66/69,900.53 = 29,969.46/x
  3. Step 3: Cross multiply
    46,590.66x = 69,900.53 × 29,969.46
  4. Step 4: Simplify right side
    46,590.66x = 2,094,880,987.97
  5. Step 5: Solve for x
    x = 2,094,880,987.97/46,590.66
  6. Step 6: Final answer
    x = 44,963.54

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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.