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Finding the Fourth Proportional to 35,630, 53,409.76 and 16,877.10

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Solution

The fourth proportional to 35,630, 53,409.76 and 16,877.10 is: 25,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,630 : 53,409.76 = 16,877.10 : x
  2. Step 2: Convert to fraction form
    35,630/53,409.76 = 16,877.10/x
  3. Step 3: Cross multiply
    35,630x = 53,409.76 × 16,877.10
  4. Step 4: Simplify right side
    35,630x = 901,401,860.50
  5. Step 5: Solve for x
    x = 901,401,860.50/35,630
  6. Step 6: Final answer
    x = 25,298.96

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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.