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Finding the Fourth Proportional to 46,658.77, 69,866.16 and 25,554.91

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Solution

The fourth proportional to 46,658.77, 69,866.16 and 25,554.91 is: 38,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658.77 : 69,866.16 = 25,554.91 : x
  2. Step 2: Convert to fraction form
    46,658.77/69,866.16 = 25,554.91/x
  3. Step 3: Cross multiply
    46,658.77x = 69,866.16 × 25,554.91
  4. Step 4: Simplify right side
    46,658.77x = 1,785,423,303.07
  5. Step 5: Solve for x
    x = 1,785,423,303.07/46,658.77
  6. Step 6: Final answer
    x = 38,265.55

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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.