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Finding the Fourth Proportional to 51,700.60, 71,328.66 and 33,806.08

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Solution

The fourth proportional to 51,700.60, 71,328.66 and 33,806.08 is: 46,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,700.60 : 71,328.66 = 33,806.08 : x
  2. Step 2: Convert to fraction form
    51,700.60/71,328.66 = 33,806.08/x
  3. Step 3: Cross multiply
    51,700.60x = 71,328.66 × 33,806.08
  4. Step 4: Simplify right side
    51,700.60x = 2,411,342,038.90
  5. Step 5: Solve for x
    x = 2,411,342,038.90/51,700.60
  6. Step 6: Final answer
    x = 46,640.51

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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.