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Finding the Fourth Proportional to 84,577.40, 116,720.64 and 46,851.64

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Solution

The fourth proportional to 84,577.40, 116,720.64 and 46,851.64 is: 64,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,577.40 : 116,720.64 = 46,851.64 : x
  2. Step 2: Convert to fraction form
    84,577.40/116,720.64 = 46,851.64/x
  3. Step 3: Cross multiply
    84,577.40x = 116,720.64 × 46,851.64
  4. Step 4: Simplify right side
    84,577.40x = 5,468,553,405.85
  5. Step 5: Solve for x
    x = 5,468,553,405.85/84,577.40
  6. Step 6: Final answer
    x = 64,657.38

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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.