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Finding the Fourth Proportional to 42,106.42, 63,159.63 and 12,524.68

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Solution

The fourth proportional to 42,106.42, 63,159.63 and 12,524.68 is: 18,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.42 : 63,159.63 = 12,524.68 : x
  2. Step 2: Convert to fraction form
    42,106.42/63,159.63 = 12,524.68/x
  3. Step 3: Cross multiply
    42,106.42x = 63,159.63 × 12,524.68
  4. Step 4: Simplify right side
    42,106.42x = 791,054,154.67
  5. Step 5: Solve for x
    x = 791,054,154.67/42,106.42
  6. Step 6: Final answer
    x = 18,787.02

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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.