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Finding the Fourth Proportional to 61,984.86, 85,538.46 and 33,690.34

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Solution

The fourth proportional to 61,984.86, 85,538.46 and 33,690.34 is: 46,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,984.86 : 85,538.46 = 33,690.34 : x
  2. Step 2: Convert to fraction form
    61,984.86/85,538.46 = 33,690.34/x
  3. Step 3: Cross multiply
    61,984.86x = 85,538.46 × 33,690.34
  4. Step 4: Simplify right side
    61,984.86x = 2,881,819,800.48
  5. Step 5: Solve for x
    x = 2,881,819,800.48/61,984.86
  6. Step 6: Final answer
    x = 46,492.32

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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.