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Finding the Fourth Proportional to 42,158, 63,204.12 and 21,106.40

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Solution

The fourth proportional to 42,158, 63,204.12 and 21,106.40 is: 31,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,158 : 63,204.12 = 21,106.40 : x
  2. Step 2: Convert to fraction form
    42,158/63,204.12 = 21,106.40/x
  3. Step 3: Cross multiply
    42,158x = 63,204.12 × 21,106.40
  4. Step 4: Simplify right side
    42,158x = 1,334,011,438.37
  5. Step 5: Solve for x
    x = 1,334,011,438.37/42,158
  6. Step 6: Final answer
    x = 31,643.14

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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.