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Finding the Fourth Proportional to 32,702.50, 49,054.22 and 9,328.94

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Solution

The fourth proportional to 32,702.50, 49,054.22 and 9,328.94 is: 13,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.50 : 49,054.22 = 9,328.94 : x
  2. Step 2: Convert to fraction form
    32,702.50/49,054.22 = 9,328.94/x
  3. Step 3: Cross multiply
    32,702.50x = 49,054.22 × 9,328.94
  4. Step 4: Simplify right side
    32,702.50x = 457,623,875.13
  5. Step 5: Solve for x
    x = 457,623,875.13/32,702.50
  6. Step 6: Final answer
    x = 13,993.54

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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.