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Finding the Fourth Proportional to 46,570.35, 69,858.06 and 13,287.86

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Solution

The fourth proportional to 46,570.35, 69,858.06 and 13,287.86 is: 19,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,570.35 : 69,858.06 = 13,287.86 : x
  2. Step 2: Convert to fraction form
    46,570.35/69,858.06 = 13,287.86/x
  3. Step 3: Cross multiply
    46,570.35x = 69,858.06 × 13,287.86
  4. Step 4: Simplify right side
    46,570.35x = 928,263,705.42
  5. Step 5: Solve for x
    x = 928,263,705.42/46,570.35
  6. Step 6: Final answer
    x = 19,932.50

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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.