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Finding the Fourth Proportional to 82,833.90, 114,312.16 and 47,024.98

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Solution

The fourth proportional to 82,833.90, 114,312.16 and 47,024.98 is: 64,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.90 : 114,312.16 = 47,024.98 : x
  2. Step 2: Convert to fraction form
    82,833.90/114,312.16 = 47,024.98/x
  3. Step 3: Cross multiply
    82,833.90x = 114,312.16 × 47,024.98
  4. Step 4: Simplify right side
    82,833.90x = 5,375,527,037.76
  5. Step 5: Solve for x
    x = 5,375,527,037.76/82,833.90
  6. Step 6: Final answer
    x = 64,895.25

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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.