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Finding the Fourth Proportional to 34,820, 48,050.92 and 19,715.53

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Solution

The fourth proportional to 34,820, 48,050.92 and 19,715.53 is: 27,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,820 : 48,050.92 = 19,715.53 : x
  2. Step 2: Convert to fraction form
    34,820/48,050.92 = 19,715.53/x
  3. Step 3: Cross multiply
    34,820x = 48,050.92 × 19,715.53
  4. Step 4: Simplify right side
    34,820x = 947,349,354.79
  5. Step 5: Solve for x
    x = 947,349,354.79/34,820
  6. Step 6: Final answer
    x = 27,207.05

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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.