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Finding the Fourth Proportional to 61,804.54, 85,292.06 and 34,946.48

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Solution

The fourth proportional to 61,804.54, 85,292.06 and 34,946.48 is: 48,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,804.54 : 85,292.06 = 34,946.48 : x
  2. Step 2: Convert to fraction form
    61,804.54/85,292.06 = 34,946.48/x
  3. Step 3: Cross multiply
    61,804.54x = 85,292.06 × 34,946.48
  4. Step 4: Simplify right side
    61,804.54x = 2,980,657,268.95
  5. Step 5: Solve for x
    x = 2,980,657,268.95/61,804.54
  6. Step 6: Final answer
    x = 48,227.16

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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.