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Finding the Fourth Proportional to 84,141.76, 116,113.76 and 46,416

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Solution

The fourth proportional to 84,141.76, 116,113.76 and 46,416 is: 64,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141.76 : 116,113.76 = 46,416 : x
  2. Step 2: Convert to fraction form
    84,141.76/116,113.76 = 46,416/x
  3. Step 3: Cross multiply
    84,141.76x = 116,113.76 × 46,416
  4. Step 4: Simplify right side
    84,141.76x = 5,389,536,284.16
  5. Step 5: Solve for x
    x = 5,389,536,284.16/84,141.76
  6. Step 6: Final answer
    x = 64,053.05

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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.