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Finding the Fourth Proportional to 83,021.22, 114,569.64 and 45,296.28

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Solution

The fourth proportional to 83,021.22, 114,569.64 and 45,296.28 is: 62,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,021.22 : 114,569.64 = 45,296.28 : x
  2. Step 2: Convert to fraction form
    83,021.22/114,569.64 = 45,296.28/x
  3. Step 3: Cross multiply
    83,021.22x = 114,569.64 × 45,296.28
  4. Step 4: Simplify right side
    83,021.22x = 5,189,578,492.94
  5. Step 5: Solve for x
    x = 5,189,578,492.94/83,021.22
  6. Step 6: Final answer
    x = 62,509.06

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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.