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Finding the Fourth Proportional to 46,287, 69,430.53 and 11,226.66

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Solution

The fourth proportional to 46,287, 69,430.53 and 11,226.66 is: 16,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287 : 69,430.53 = 11,226.66 : x
  2. Step 2: Convert to fraction form
    46,287/69,430.53 = 11,226.66/x
  3. Step 3: Cross multiply
    46,287x = 69,430.53 × 11,226.66
  4. Step 4: Simplify right side
    46,287x = 779,472,953.93
  5. Step 5: Solve for x
    x = 779,472,953.93/46,287
  6. Step 6: Final answer
    x = 16,840.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.