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Finding the Fourth Proportional to 81,830.68, 112,914.66 and 46,019.32

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Solution

The fourth proportional to 81,830.68, 112,914.66 and 46,019.32 is: 63,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.68 : 112,914.66 = 46,019.32 : x
  2. Step 2: Convert to fraction form
    81,830.68/112,914.66 = 46,019.32/x
  3. Step 3: Cross multiply
    81,830.68x = 112,914.66 × 46,019.32
  4. Step 4: Simplify right side
    81,830.68x = 5,196,255,871.23
  5. Step 5: Solve for x
    x = 5,196,255,871.23/81,830.68
  6. Step 6: Final answer
    x = 63,500.09

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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.