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Finding the Fourth Proportional to 30,999.60, 46,513.80 and 16,225.20

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Solution

The fourth proportional to 30,999.60, 46,513.80 and 16,225.20 is: 24,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.60 : 46,513.80 = 16,225.20 : x
  2. Step 2: Convert to fraction form
    30,999.60/46,513.80 = 16,225.20/x
  3. Step 3: Cross multiply
    30,999.60x = 46,513.80 × 16,225.20
  4. Step 4: Simplify right side
    30,999.60x = 754,695,707.76
  5. Step 5: Solve for x
    x = 754,695,707.76/30,999.60
  6. Step 6: Final answer
    x = 24,345.34

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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.