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Finding the Fourth Proportional to 31,159.16, 46,751.70 and 18,703.16

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Solution

The fourth proportional to 31,159.16, 46,751.70 and 18,703.16 is: 28,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.16 : 46,751.70 = 18,703.16 : x
  2. Step 2: Convert to fraction form
    31,159.16/46,751.70 = 18,703.16/x
  3. Step 3: Cross multiply
    31,159.16x = 46,751.70 × 18,703.16
  4. Step 4: Simplify right side
    31,159.16x = 874,404,525.37
  5. Step 5: Solve for x
    x = 874,404,525.37/31,159.16
  6. Step 6: Final answer
    x = 28,062.52

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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.