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Finding the Fourth Proportional to 32,953.94, 49,430.89 and 13,232.49

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Solution

The fourth proportional to 32,953.94, 49,430.89 and 13,232.49 is: 19,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.94 : 49,430.89 = 13,232.49 : x
  2. Step 2: Convert to fraction form
    32,953.94/49,430.89 = 13,232.49/x
  3. Step 3: Cross multiply
    32,953.94x = 49,430.89 × 13,232.49
  4. Step 4: Simplify right side
    32,953.94x = 654,093,539.17
  5. Step 5: Solve for x
    x = 654,093,539.17/32,953.94
  6. Step 6: Final answer
    x = 19,848.72

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1.5x scale

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.