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Finding the Fourth Proportional to 42,780.41, 64,176.65 and 13,200.65

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Solution

The fourth proportional to 42,780.41, 64,176.65 and 13,200.65 is: 19,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,780.41 : 64,176.65 = 13,200.65 : x
  2. Step 2: Convert to fraction form
    42,780.41/64,176.65 = 13,200.65/x
  3. Step 3: Cross multiply
    42,780.41x = 64,176.65 × 13,200.65
  4. Step 4: Simplify right side
    42,780.41x = 847,173,494.82
  5. Step 5: Solve for x
    x = 847,173,494.82/42,780.41
  6. Step 6: Final answer
    x = 19,802.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.