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Finding the Fourth Proportional to 34,746.45, 52,127.03 and 13,399.71

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Solution

The fourth proportional to 34,746.45, 52,127.03 and 13,399.71 is: 20,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746.45 : 52,127.03 = 13,399.71 : x
  2. Step 2: Convert to fraction form
    34,746.45/52,127.03 = 13,399.71/x
  3. Step 3: Cross multiply
    34,746.45x = 52,127.03 × 13,399.71
  4. Step 4: Simplify right side
    34,746.45x = 698,487,085.16
  5. Step 5: Solve for x
    x = 698,487,085.16/34,746.45
  6. Step 6: Final answer
    x = 20,102.40

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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.