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Finding the Fourth Proportional to 29,362.92, 40,509.06 and 16,785

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Solution

The fourth proportional to 29,362.92, 40,509.06 and 16,785 is: 23,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,362.92 : 40,509.06 = 16,785 : x
  2. Step 2: Convert to fraction form
    29,362.92/40,509.06 = 16,785/x
  3. Step 3: Cross multiply
    29,362.92x = 40,509.06 × 16,785
  4. Step 4: Simplify right side
    29,362.92x = 679,944,572.10
  5. Step 5: Solve for x
    x = 679,944,572.10/29,362.92
  6. Step 6: Final answer
    x = 23,156.57

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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.