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Finding the Fourth Proportional to 83,066.22, 114,631.74 and 45,341.28

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Solution

The fourth proportional to 83,066.22, 114,631.74 and 45,341.28 is: 62,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,066.22 : 114,631.74 = 45,341.28 : x
  2. Step 2: Convert to fraction form
    83,066.22/114,631.74 = 45,341.28/x
  3. Step 3: Cross multiply
    83,066.22x = 114,631.74 × 45,341.28
  4. Step 4: Simplify right side
    83,066.22x = 5,197,549,820.23
  5. Step 5: Solve for x
    x = 5,197,549,820.23/83,066.22
  6. Step 6: Final answer
    x = 62,571.16

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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.