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Finding the Fourth Proportional to 35,482, 53,216.88 and 10,521.76

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Solution

The fourth proportional to 35,482, 53,216.88 and 10,521.76 is: 15,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482 : 53,216.88 = 10,521.76 : x
  2. Step 2: Convert to fraction form
    35,482/53,216.88 = 10,521.76/x
  3. Step 3: Cross multiply
    35,482x = 53,216.88 × 10,521.76
  4. Step 4: Simplify right side
    35,482x = 559,935,239.31
  5. Step 5: Solve for x
    x = 559,935,239.31/35,482
  6. Step 6: Final answer
    x = 15,780.83

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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.