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Finding the Fourth Proportional to 30,762.99, 46,147.93 and 9,706.03

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Solution

The fourth proportional to 30,762.99, 46,147.93 and 9,706.03 is: 14,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.99 : 46,147.93 = 9,706.03 : x
  2. Step 2: Convert to fraction form
    30,762.99/46,147.93 = 9,706.03/x
  3. Step 3: Cross multiply
    30,762.99x = 46,147.93 × 9,706.03
  4. Step 4: Simplify right side
    30,762.99x = 447,913,053.38
  5. Step 5: Solve for x
    x = 447,913,053.38/30,762.99
  6. Step 6: Final answer
    x = 14,560.13

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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.