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Finding the Fourth Proportional to 76,085.64, 114,106.11 and 28,666.50

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Solution

The fourth proportional to 76,085.64, 114,106.11 and 28,666.50 is: 42,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085.64 : 114,106.11 = 28,666.50 : x
  2. Step 2: Convert to fraction form
    76,085.64/114,106.11 = 28,666.50/x
  3. Step 3: Cross multiply
    76,085.64x = 114,106.11 × 28,666.50
  4. Step 4: Simplify right side
    76,085.64x = 3,271,022,802.32
  5. Step 5: Solve for x
    x = 3,271,022,802.32/76,085.64
  6. Step 6: Final answer
    x = 42,991.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.