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Finding the Fourth Proportional to 82,804.60, 114,268.54 and 48,355.25

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Solution

The fourth proportional to 82,804.60, 114,268.54 and 48,355.25 is: 66,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,804.60 : 114,268.54 = 48,355.25 : x
  2. Step 2: Convert to fraction form
    82,804.60/114,268.54 = 48,355.25/x
  3. Step 3: Cross multiply
    82,804.60x = 114,268.54 × 48,355.25
  4. Step 4: Simplify right side
    82,804.60x = 5,525,483,818.84
  5. Step 5: Solve for x
    x = 5,525,483,818.84/82,804.60
  6. Step 6: Final answer
    x = 66,729.19

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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.