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Finding the Fourth Proportional to 83,416.84, 115,116.74 and 45,688.66

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Solution

The fourth proportional to 83,416.84, 115,116.74 and 45,688.66 is: 63,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416.84 : 115,116.74 = 45,688.66 : x
  2. Step 2: Convert to fraction form
    83,416.84/115,116.74 = 45,688.66/x
  3. Step 3: Cross multiply
    83,416.84x = 115,116.74 × 45,688.66
  4. Step 4: Simplify right side
    83,416.84x = 5,259,529,594.17
  5. Step 5: Solve for x
    x = 5,259,529,594.17/83,416.84
  6. Step 6: Final answer
    x = 63,051.17

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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.