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Finding the Fourth Proportional to 82,038.72, 113,210.22 and 46,236

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Solution

The fourth proportional to 82,038.72, 113,210.22 and 46,236 is: 63,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038.72 : 113,210.22 = 46,236 : x
  2. Step 2: Convert to fraction form
    82,038.72/113,210.22 = 46,236/x
  3. Step 3: Cross multiply
    82,038.72x = 113,210.22 × 46,236
  4. Step 4: Simplify right side
    82,038.72x = 5,234,387,731.92
  5. Step 5: Solve for x
    x = 5,234,387,731.92/82,038.72
  6. Step 6: Final answer
    x = 63,803.87

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