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Finding the Fourth Proportional to 42,808.50, 64,212.95 and 15,106.50

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Solution

The fourth proportional to 42,808.50, 64,212.95 and 15,106.50 is: 22,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,808.50 : 64,212.95 = 15,106.50 : x
  2. Step 2: Convert to fraction form
    42,808.50/64,212.95 = 15,106.50/x
  3. Step 3: Cross multiply
    42,808.50x = 64,212.95 × 15,106.50
  4. Step 4: Simplify right side
    42,808.50x = 970,032,966.94
  5. Step 5: Solve for x
    x = 970,032,966.94/42,808.50
  6. Step 6: Final answer
    x = 22,659.82

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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.