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Finding the Fourth Proportional to 30,693.60, 46,040.00 and 16,742.16

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Solution

The fourth proportional to 30,693.60, 46,040.00 and 16,742.16 is: 25,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.60 : 46,040.00 = 16,742.16 : x
  2. Step 2: Convert to fraction form
    30,693.60/46,040.00 = 16,742.16/x
  3. Step 3: Cross multiply
    30,693.60x = 46,040.00 × 16,742.16
  4. Step 4: Simplify right side
    30,693.60x = 770,808,962.69
  5. Step 5: Solve for x
    x = 770,808,962.69/30,693.60
  6. Step 6: Final answer
    x = 25,113.02

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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.