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Finding the Fourth Proportional to 84,148.18, 116,116.41 and 46,420

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Solution

The fourth proportional to 84,148.18, 116,116.41 and 46,420 is: 64,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,148.18 : 116,116.41 = 46,420 : x
  2. Step 2: Convert to fraction form
    84,148.18/116,116.41 = 46,420/x
  3. Step 3: Cross multiply
    84,148.18x = 116,116.41 × 46,420
  4. Step 4: Simplify right side
    84,148.18x = 5,390,123,752.20
  5. Step 5: Solve for x
    x = 5,390,123,752.20/84,148.18
  6. Step 6: Final answer
    x = 64,055.14

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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.