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Finding the Fourth Proportional to 35,630, 53,445.72 and 11,006

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Solution

The fourth proportional to 35,630, 53,445.72 and 11,006 is: 16,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,630 : 53,445.72 = 11,006 : x
  2. Step 2: Convert to fraction form
    35,630/53,445.72 = 11,006/x
  3. Step 3: Cross multiply
    35,630x = 53,445.72 × 11,006
  4. Step 4: Simplify right side
    35,630x = 588,223,594.32
  5. Step 5: Solve for x
    x = 588,223,594.32/35,630
  6. Step 6: Final answer
    x = 16,509.22

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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.