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Finding the Fourth Proportional to 84,032.94, 115,965.46 and 46,307.19

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Solution

The fourth proportional to 84,032.94, 115,965.46 and 46,307.19 is: 63,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,032.94 : 115,965.46 = 46,307.19 : x
  2. Step 2: Convert to fraction form
    84,032.94/115,965.46 = 46,307.19/x
  3. Step 3: Cross multiply
    84,032.94x = 115,965.46 × 46,307.19
  4. Step 4: Simplify right side
    84,032.94x = 5,370,034,358.12
  5. Step 5: Solve for x
    x = 5,370,034,358.12/84,032.94
  6. Step 6: Final answer
    x = 63,903.92

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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.