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Finding the Fourth Proportional to 35,557, 53,344.14 and 10,933

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Solution

The fourth proportional to 35,557, 53,344.14 and 10,933 is: 16,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,557 : 53,344.14 = 10,933 : x
  2. Step 2: Convert to fraction form
    35,557/53,344.14 = 10,933/x
  3. Step 3: Cross multiply
    35,557x = 53,344.14 × 10,933
  4. Step 4: Simplify right side
    35,557x = 583,211,482.62
  5. Step 5: Solve for x
    x = 583,211,482.62/35,557
  6. Step 6: Final answer
    x = 16,402.16

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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.