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Finding the Fourth Proportional to 35,535, 53,302.50 and 10,911

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Solution

The fourth proportional to 35,535, 53,302.50 and 10,911 is: 16,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,535 : 53,302.50 = 10,911 : x
  2. Step 2: Convert to fraction form
    35,535/53,302.50 = 10,911/x
  3. Step 3: Cross multiply
    35,535x = 53,302.50 × 10,911
  4. Step 4: Simplify right side
    35,535x = 581,583,577.50
  5. Step 5: Solve for x
    x = 581,583,577.50/35,535
  6. Step 6: Final answer
    x = 16,366.50

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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.