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Finding the Fourth Proportional to 34,315.02, 47,354.16 and 19,207.72

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Solution

The fourth proportional to 34,315.02, 47,354.16 and 19,207.72 is: 26,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,315.02 : 47,354.16 = 19,207.72 : x
  2. Step 2: Convert to fraction form
    34,315.02/47,354.16 = 19,207.72/x
  3. Step 3: Cross multiply
    34,315.02x = 47,354.16 × 19,207.72
  4. Step 4: Simplify right side
    34,315.02x = 909,565,446.12
  5. Step 5: Solve for x
    x = 909,565,446.12/34,315.02
  6. Step 6: Final answer
    x = 26,506.34

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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.