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Finding the Fourth Proportional to 46,707.84, 70,061.76 and 23,321.52

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Solution

The fourth proportional to 46,707.84, 70,061.76 and 23,321.52 is: 34,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,707.84 : 70,061.76 = 23,321.52 : x
  2. Step 2: Convert to fraction form
    46,707.84/70,061.76 = 23,321.52/x
  3. Step 3: Cross multiply
    46,707.84x = 70,061.76 × 23,321.52
  4. Step 4: Simplify right side
    46,707.84x = 1,633,946,737.08
  5. Step 5: Solve for x
    x = 1,633,946,737.08/46,707.84
  6. Step 6: Final answer
    x = 34,982.28

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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.