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Finding the Fourth Proportional to 32,894.62, 49,354.32 and 19,756.15

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Solution

The fourth proportional to 32,894.62, 49,354.32 and 19,756.15 is: 29,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.62 : 49,354.32 = 19,756.15 : x
  2. Step 2: Convert to fraction form
    32,894.62/49,354.32 = 19,756.15/x
  3. Step 3: Cross multiply
    32,894.62x = 49,354.32 × 19,756.15
  4. Step 4: Simplify right side
    32,894.62x = 975,051,349.07
  5. Step 5: Solve for x
    x = 975,051,349.07/32,894.62
  6. Step 6: Final answer
    x = 29,641.67

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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.