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Finding the Fourth Proportional to 30,806.96, 46,211.16 and 10,032.08

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Solution

The fourth proportional to 30,806.96, 46,211.16 and 10,032.08 is: 15,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.96 : 46,211.16 = 10,032.08 : x
  2. Step 2: Convert to fraction form
    30,806.96/46,211.16 = 10,032.08/x
  3. Step 3: Cross multiply
    30,806.96x = 46,211.16 × 10,032.08
  4. Step 4: Simplify right side
    30,806.96x = 463,594,054.01
  5. Step 5: Solve for x
    x = 463,594,054.01/30,806.96
  6. Step 6: Final answer
    x = 15,048.35

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1.5x scale

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.