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Finding the Fourth Proportional to 116,643.66, 174,970.89 and 37,764.06

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Solution

The fourth proportional to 116,643.66, 174,970.89 and 37,764.06 is: 56,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643.66 : 174,970.89 = 37,764.06 : x
  2. Step 2: Convert to fraction form
    116,643.66/174,970.89 = 37,764.06/x
  3. Step 3: Cross multiply
    116,643.66x = 174,970.89 × 37,764.06
  4. Step 4: Simplify right side
    116,643.66x = 6,607,611,188.21
  5. Step 5: Solve for x
    x = 6,607,611,188.21/116,643.66
  6. Step 6: Final answer
    x = 56,647.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.