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Finding the Fourth Proportional to 30,953.96, 46,430.88 and 11,232.48

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Solution

The fourth proportional to 30,953.96, 46,430.88 and 11,232.48 is: 16,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.96 : 46,430.88 = 11,232.48 : x
  2. Step 2: Convert to fraction form
    30,953.96/46,430.88 = 11,232.48/x
  3. Step 3: Cross multiply
    30,953.96x = 46,430.88 × 11,232.48
  4. Step 4: Simplify right side
    30,953.96x = 521,533,930.98
  5. Step 5: Solve for x
    x = 521,533,930.98/30,953.96
  6. Step 6: Final answer
    x = 16,848.70

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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.