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Finding the Fourth Proportional to 46,714.55, 69,907.80 and 31,952.30

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Solution

The fourth proportional to 46,714.55, 69,907.80 and 31,952.30 is: 47,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714.55 : 69,907.80 = 31,952.30 : x
  2. Step 2: Convert to fraction form
    46,714.55/69,907.80 = 31,952.30/x
  3. Step 3: Cross multiply
    46,714.55x = 69,907.80 × 31,952.30
  4. Step 4: Simplify right side
    46,714.55x = 2,233,714,997.94
  5. Step 5: Solve for x
    x = 2,233,714,997.94/46,714.55
  6. Step 6: Final answer
    x = 47,816.26

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1.5x scale

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.