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Finding the Fourth Proportional to 84,281.76, 116,303.76 and 46,555.20

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Solution

The fourth proportional to 84,281.76, 116,303.76 and 46,555.20 is: 64,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,281.76 : 116,303.76 = 46,555.20 : x
  2. Step 2: Convert to fraction form
    84,281.76/116,303.76 = 46,555.20/x
  3. Step 3: Cross multiply
    84,281.76x = 116,303.76 × 46,555.20
  4. Step 4: Simplify right side
    84,281.76x = 5,414,544,807.55
  5. Step 5: Solve for x
    x = 5,414,544,807.55/84,281.76
  6. Step 6: Final answer
    x = 64,243.38

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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.