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Finding the Fourth Proportional to 30,935.79, 46,406.93 and 15,349.23

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Solution

The fourth proportional to 30,935.79, 46,406.93 and 15,349.23 is: 23,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.79 : 46,406.93 = 15,349.23 : x
  2. Step 2: Convert to fraction form
    30,935.79/46,406.93 = 15,349.23/x
  3. Step 3: Cross multiply
    30,935.79x = 46,406.93 × 15,349.23
  4. Step 4: Simplify right side
    30,935.79x = 712,310,565.42
  5. Step 5: Solve for x
    x = 712,310,565.42/30,935.79
  6. Step 6: Final answer
    x = 23,025.45

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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.