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Finding the Fourth Proportional to 83,192.51, 114,805.41 and 45,466.76

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Solution

The fourth proportional to 83,192.51, 114,805.41 and 45,466.76 is: 62,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,192.51 : 114,805.41 = 45,466.76 : x
  2. Step 2: Convert to fraction form
    83,192.51/114,805.41 = 45,466.76/x
  3. Step 3: Cross multiply
    83,192.51x = 114,805.41 × 45,466.76
  4. Step 4: Simplify right side
    83,192.51x = 5,219,830,023.17
  5. Step 5: Solve for x
    x = 5,219,830,023.17/83,192.51
  6. Step 6: Final answer
    x = 62,743.99

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1.5x scale

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.