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Finding the Fourth Proportional to 28,431.70, 42,647.51 and 7,655.22

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Solution

The fourth proportional to 28,431.70, 42,647.51 and 7,655.22 is: 11,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.70 : 42,647.51 = 7,655.22 : x
  2. Step 2: Convert to fraction form
    28,431.70/42,647.51 = 7,655.22/x
  3. Step 3: Cross multiply
    28,431.70x = 42,647.51 × 7,655.22
  4. Step 4: Simplify right side
    28,431.70x = 326,476,071.50
  5. Step 5: Solve for x
    x = 326,476,071.50/28,431.70
  6. Step 6: Final answer
    x = 11,482.82

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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.