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Finding the Fourth Proportional to 46,575, 69,864.82 and 13,300

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Solution

The fourth proportional to 46,575, 69,864.82 and 13,300 is: 19,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,575 : 69,864.82 = 13,300 : x
  2. Step 2: Convert to fraction form
    46,575/69,864.82 = 13,300/x
  3. Step 3: Cross multiply
    46,575x = 69,864.82 × 13,300
  4. Step 4: Simplify right side
    46,575x = 929,202,106.00
  5. Step 5: Solve for x
    x = 929,202,106.00/46,575
  6. Step 6: Final answer
    x = 19,950.66

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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.