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Finding the Fourth Proportional to 32,976.90, 49,465.90 and 9,285.02

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Solution

The fourth proportional to 32,976.90, 49,465.90 and 9,285.02 is: 13,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.90 : 49,465.90 = 9,285.02 : x
  2. Step 2: Convert to fraction form
    32,976.90/49,465.90 = 9,285.02/x
  3. Step 3: Cross multiply
    32,976.90x = 49,465.90 × 9,285.02
  4. Step 4: Simplify right side
    32,976.90x = 459,291,877.10
  5. Step 5: Solve for x
    x = 459,291,877.10/32,976.90
  6. Step 6: Final answer
    x = 13,927.68

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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.