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Finding the Fourth Proportional to 84,415.57, 116,492.07 and 46,689.82

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Solution

The fourth proportional to 84,415.57, 116,492.07 and 46,689.82 is: 64,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.57 : 116,492.07 = 46,689.82 : x
  2. Step 2: Convert to fraction form
    84,415.57/116,492.07 = 46,689.82/x
  3. Step 3: Cross multiply
    84,415.57x = 116,492.07 × 46,689.82
  4. Step 4: Simplify right side
    84,415.57x = 5,438,993,663.58
  5. Step 5: Solve for x
    x = 5,438,993,663.58/84,415.57
  6. Step 6: Final answer
    x = 64,431.17

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1.5x scale

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.