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Finding the Fourth Proportional to 51,483.93, 71,047.29 and 28,823.13

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Solution

The fourth proportional to 51,483.93, 71,047.29 and 28,823.13 is: 39,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,483.93 : 71,047.29 = 28,823.13 : x
  2. Step 2: Convert to fraction form
    51,483.93/71,047.29 = 28,823.13/x
  3. Step 3: Cross multiply
    51,483.93x = 71,047.29 × 28,823.13
  4. Step 4: Simplify right side
    51,483.93x = 2,047,805,275.82
  5. Step 5: Solve for x
    x = 2,047,805,275.82/51,483.93
  6. Step 6: Final answer
    x = 39,775.62

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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.