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Finding the Fourth Proportional to 84,142.84, 116,117.24 and 46,417

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Solution

The fourth proportional to 84,142.84, 116,117.24 and 46,417 is: 64,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.84 : 116,117.24 = 46,417 : x
  2. Step 2: Convert to fraction form
    84,142.84/116,117.24 = 46,417/x
  3. Step 3: Cross multiply
    84,142.84x = 116,117.24 × 46,417
  4. Step 4: Simplify right side
    84,142.84x = 5,389,813,929.08
  5. Step 5: Solve for x
    x = 5,389,813,929.08/84,142.84
  6. Step 6: Final answer
    x = 64,055.53

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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.