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Finding the Fourth Proportional to 83,811.51, 115,659.83 and 46,085.76

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Solution

The fourth proportional to 83,811.51, 115,659.83 and 46,085.76 is: 63,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811.51 : 115,659.83 = 46,085.76 : x
  2. Step 2: Convert to fraction form
    83,811.51/115,659.83 = 46,085.76/x
  3. Step 3: Cross multiply
    83,811.51x = 115,659.83 × 46,085.76
  4. Step 4: Simplify right side
    83,811.51x = 5,330,271,282.24
  5. Step 5: Solve for x
    x = 5,330,271,282.24/83,811.51
  6. Step 6: Final answer
    x = 63,598.32

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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.