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Finding the Fourth Proportional to 84,602.88, 116,756.64 and 48,804.12

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Solution

The fourth proportional to 84,602.88, 116,756.64 and 48,804.12 is: 67,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,602.88 : 116,756.64 = 48,804.12 : x
  2. Step 2: Convert to fraction form
    84,602.88/116,756.64 = 48,804.12/x
  3. Step 3: Cross multiply
    84,602.88x = 116,756.64 × 48,804.12
  4. Step 4: Simplify right side
    84,602.88x = 5,698,205,069.36
  5. Step 5: Solve for x
    x = 5,698,205,069.36/84,602.88
  6. Step 6: Final answer
    x = 67,352.38

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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.