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Finding the Fourth Proportional to 34,312.16, 47,351.04 and 19,408.16

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Solution

The fourth proportional to 34,312.16, 47,351.04 and 19,408.16 is: 26,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312.16 : 47,351.04 = 19,408.16 : x
  2. Step 2: Convert to fraction form
    34,312.16/47,351.04 = 19,408.16/x
  3. Step 3: Cross multiply
    34,312.16x = 47,351.04 × 19,408.16
  4. Step 4: Simplify right side
    34,312.16x = 918,996,560.49
  5. Step 5: Solve for x
    x = 918,996,560.49/34,312.16
  6. Step 6: Final answer
    x = 26,783.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.