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Finding the Fourth Proportional to 84,214.63, 116,235.72 and 55,539.46

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Solution

The fourth proportional to 84,214.63, 116,235.72 and 55,539.46 is: 76,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.63 : 116,235.72 = 55,539.46 : x
  2. Step 2: Convert to fraction form
    84,214.63/116,235.72 = 55,539.46/x
  3. Step 3: Cross multiply
    84,214.63x = 116,235.72 × 55,539.46
  4. Step 4: Simplify right side
    84,214.63x = 6,455,669,266.81
  5. Step 5: Solve for x
    x = 6,455,669,266.81/84,214.63
  6. Step 6: Final answer
    x = 76,657.34

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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.