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Finding the Fourth Proportional to 82,821.06, 114,263.04 and 46,990.32

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Solution

The fourth proportional to 82,821.06, 114,263.04 and 46,990.32 is: 64,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,821.06 : 114,263.04 = 46,990.32 : x
  2. Step 2: Convert to fraction form
    82,821.06/114,263.04 = 46,990.32/x
  3. Step 3: Cross multiply
    82,821.06x = 114,263.04 × 46,990.32
  4. Step 4: Simplify right side
    82,821.06x = 5,369,256,561.50
  5. Step 5: Solve for x
    x = 5,369,256,561.50/82,821.06
  6. Step 6: Final answer
    x = 64,829.60

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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.