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Finding the Fourth Proportional to 28,495.12, 42,747.54 and 8,770

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Solution

The fourth proportional to 28,495.12, 42,747.54 and 8,770 is: 13,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,495.12 : 42,747.54 = 8,770 : x
  2. Step 2: Convert to fraction form
    28,495.12/42,747.54 = 8,770/x
  3. Step 3: Cross multiply
    28,495.12x = 42,747.54 × 8,770
  4. Step 4: Simplify right side
    28,495.12x = 374,895,925.80
  5. Step 5: Solve for x
    x = 374,895,925.80/28,495.12
  6. Step 6: Final answer
    x = 13,156.50

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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.