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Finding the Fourth Proportional to 30,686.80, 45,981.60 and 19,573.60

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Solution

The fourth proportional to 30,686.80, 45,981.60 and 19,573.60 is: 29,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.80 : 45,981.60 = 19,573.60 : x
  2. Step 2: Convert to fraction form
    30,686.80/45,981.60 = 19,573.60/x
  3. Step 3: Cross multiply
    30,686.80x = 45,981.60 × 19,573.60
  4. Step 4: Simplify right side
    30,686.80x = 900,025,445.76
  5. Step 5: Solve for x
    x = 900,025,445.76/30,686.80
  6. Step 6: Final answer
    x = 29,329.40

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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.