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Finding the Fourth Proportional to 84,235.74, 116,246.19 and 46,509.90

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Solution

The fourth proportional to 84,235.74, 116,246.19 and 46,509.90 is: 64,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,235.74 : 116,246.19 = 46,509.90 : x
  2. Step 2: Convert to fraction form
    84,235.74/116,246.19 = 46,509.90/x
  3. Step 3: Cross multiply
    84,235.74x = 116,246.19 × 46,509.90
  4. Step 4: Simplify right side
    84,235.74x = 5,406,598,672.28
  5. Step 5: Solve for x
    x = 5,406,598,672.28/84,235.74
  6. Step 6: Final answer
    x = 64,184.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.