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Finding the Fourth Proportional to 30,957.12, 46,423.80 and 15,152.40

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Solution

The fourth proportional to 30,957.12, 46,423.80 and 15,152.40 is: 22,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.12 : 46,423.80 = 15,152.40 : x
  2. Step 2: Convert to fraction form
    30,957.12/46,423.80 = 15,152.40/x
  3. Step 3: Cross multiply
    30,957.12x = 46,423.80 × 15,152.40
  4. Step 4: Simplify right side
    30,957.12x = 703,431,987.12
  5. Step 5: Solve for x
    x = 703,431,987.12/30,957.12
  6. Step 6: Final answer
    x = 22,722.79

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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.