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Finding the Fourth Proportional to 46,680, 64,472.14 and 33,989.92

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Solution

The fourth proportional to 46,680, 64,472.14 and 33,989.92 is: 46,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,680 : 64,472.14 = 33,989.92 : x
  2. Step 2: Convert to fraction form
    46,680/64,472.14 = 33,989.92/x
  3. Step 3: Cross multiply
    46,680x = 64,472.14 × 33,989.92
  4. Step 4: Simplify right side
    46,680x = 2,191,402,880.83
  5. Step 5: Solve for x
    x = 2,191,402,880.83/46,680
  6. Step 6: Final answer
    x = 46,945.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.