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Finding the Fourth Proportional to 32,364.34, 48,551.73 and 9,570.50

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Solution

The fourth proportional to 32,364.34, 48,551.73 and 9,570.50 is: 14,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364.34 : 48,551.73 = 9,570.50 : x
  2. Step 2: Convert to fraction form
    32,364.34/48,551.73 = 9,570.50/x
  3. Step 3: Cross multiply
    32,364.34x = 48,551.73 × 9,570.50
  4. Step 4: Simplify right side
    32,364.34x = 464,664,089.21
  5. Step 5: Solve for x
    x = 464,664,089.21/32,364.34
  6. Step 6: Final answer
    x = 14,357.29

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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.