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Finding the Fourth Proportional to 32,702.16, 49,038.52 and 9,323.04

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Solution

The fourth proportional to 32,702.16, 49,038.52 and 9,323.04 is: 13,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.16 : 49,038.52 = 9,323.04 : x
  2. Step 2: Convert to fraction form
    32,702.16/49,038.52 = 9,323.04/x
  3. Step 3: Cross multiply
    32,702.16x = 49,038.52 × 9,323.04
  4. Step 4: Simplify right side
    32,702.16x = 457,188,083.50
  5. Step 5: Solve for x
    x = 457,188,083.50/32,702.16
  6. Step 6: Final answer
    x = 13,980.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.