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Finding the Fourth Proportional to 46,714.81, 70,084.22 and 13,437.48

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Solution

The fourth proportional to 46,714.81, 70,084.22 and 13,437.48 is: 20,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714.81 : 70,084.22 = 13,437.48 : x
  2. Step 2: Convert to fraction form
    46,714.81/70,084.22 = 13,437.48/x
  3. Step 3: Cross multiply
    46,714.81x = 70,084.22 × 13,437.48
  4. Step 4: Simplify right side
    46,714.81x = 941,755,304.57
  5. Step 5: Solve for x
    x = 941,755,304.57/46,714.81
  6. Step 6: Final answer
    x = 20,159.67

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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.