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Finding the Fourth Proportional to 117,421.34, 176,164.77 and 47,349.50

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Solution

The fourth proportional to 117,421.34, 176,164.77 and 47,349.50 is: 71,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,421.34 : 176,164.77 = 47,349.50 : x
  2. Step 2: Convert to fraction form
    117,421.34/176,164.77 = 47,349.50/x
  3. Step 3: Cross multiply
    117,421.34x = 176,164.77 × 47,349.50
  4. Step 4: Simplify right side
    117,421.34x = 8,341,313,777.12
  5. Step 5: Solve for x
    x = 8,341,313,777.12/117,421.34
  6. Step 6: Final answer
    x = 71,037.46

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