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Finding the Fourth Proportional to 51,023.72, 70,412.66 and 28,362

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Solution

The fourth proportional to 51,023.72, 70,412.66 and 28,362 is: 39,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,023.72 : 70,412.66 = 28,362 : x
  2. Step 2: Convert to fraction form
    51,023.72/70,412.66 = 28,362/x
  3. Step 3: Cross multiply
    51,023.72x = 70,412.66 × 28,362
  4. Step 4: Simplify right side
    51,023.72x = 1,997,043,862.92
  5. Step 5: Solve for x
    x = 1,997,043,862.92/51,023.72
  6. Step 6: Final answer
    x = 39,139.52

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