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Finding the Fourth Proportional to 61,941.84, 85,477.32 and 35,085.84

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Solution

The fourth proportional to 61,941.84, 85,477.32 and 35,085.84 is: 48,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,941.84 : 85,477.32 = 35,085.84 : x
  2. Step 2: Convert to fraction form
    61,941.84/85,477.32 = 35,085.84/x
  3. Step 3: Cross multiply
    61,941.84x = 85,477.32 × 35,085.84
  4. Step 4: Simplify right side
    61,941.84x = 2,999,043,573.15
  5. Step 5: Solve for x
    x = 2,999,043,573.15/61,941.84
  6. Step 6: Final answer
    x = 48,417.09

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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.