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Finding the Fourth Proportional to 32,430.40, 48,645.60 and 12,702.40

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Solution

The fourth proportional to 32,430.40, 48,645.60 and 12,702.40 is: 19,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430.40 : 48,645.60 = 12,702.40 : x
  2. Step 2: Convert to fraction form
    32,430.40/48,645.60 = 12,702.40/x
  3. Step 3: Cross multiply
    32,430.40x = 48,645.60 × 12,702.40
  4. Step 4: Simplify right side
    32,430.40x = 617,915,869.44
  5. Step 5: Solve for x
    x = 617,915,869.44/32,430.40
  6. Step 6: Final answer
    x = 19,053.60

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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.