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Finding the Fourth Proportional to 124,415.64, 171,690.16 and 67,827

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Solution

The fourth proportional to 124,415.64, 171,690.16 and 67,827 is: 93,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,415.64 : 171,690.16 = 67,827 : x
  2. Step 2: Convert to fraction form
    124,415.64/171,690.16 = 67,827/x
  3. Step 3: Cross multiply
    124,415.64x = 171,690.16 × 67,827
  4. Step 4: Simplify right side
    124,415.64x = 11,645,228,482.32
  5. Step 5: Solve for x
    x = 11,645,228,482.32/124,415.64
  6. Step 6: Final answer
    x = 93,599.39

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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.