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Finding the Fourth Proportional to 30,907.68, 46,361.04 and 7,534.08

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Solution

The fourth proportional to 30,907.68, 46,361.04 and 7,534.08 is: 11,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.68 : 46,361.04 = 7,534.08 : x
  2. Step 2: Convert to fraction form
    30,907.68/46,361.04 = 7,534.08/x
  3. Step 3: Cross multiply
    30,907.68x = 46,361.04 × 7,534.08
  4. Step 4: Simplify right side
    30,907.68x = 349,287,784.24
  5. Step 5: Solve for x
    x = 349,287,784.24/30,907.68
  6. Step 6: Final answer
    x = 11,301.00

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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.