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Finding the Fourth Proportional to 46,871.70, 70,314.47 and 13,587.44

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Solution

The fourth proportional to 46,871.70, 70,314.47 and 13,587.44 is: 20,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,871.70 : 70,314.47 = 13,587.44 : x
  2. Step 2: Convert to fraction form
    46,871.70/70,314.47 = 13,587.44/x
  3. Step 3: Cross multiply
    46,871.70x = 70,314.47 × 13,587.44
  4. Step 4: Simplify right side
    46,871.70x = 955,393,222.75
  5. Step 5: Solve for x
    x = 955,393,222.75/46,871.70
  6. Step 6: Final answer
    x = 20,383.16

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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.