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Finding the Fourth Proportional to 83,780.64, 115,617.64 and 46,057.32

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Solution

The fourth proportional to 83,780.64, 115,617.64 and 46,057.32 is: 63,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.64 : 115,617.64 = 46,057.32 : x
  2. Step 2: Convert to fraction form
    83,780.64/115,617.64 = 46,057.32/x
  3. Step 3: Cross multiply
    83,780.64x = 115,617.64 × 46,057.32
  4. Step 4: Simplify right side
    83,780.64x = 5,325,038,643.12
  5. Step 5: Solve for x
    x = 5,325,038,643.12/83,780.64
  6. Step 6: Final answer
    x = 63,559.30

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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.