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Finding the Fourth Proportional to 46,228.86, 69,350.38 and 19,575

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Solution

The fourth proportional to 46,228.86, 69,350.38 and 19,575 is: 29,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,228.86 : 69,350.38 = 19,575 : x
  2. Step 2: Convert to fraction form
    46,228.86/69,350.38 = 19,575/x
  3. Step 3: Cross multiply
    46,228.86x = 69,350.38 × 19,575
  4. Step 4: Simplify right side
    46,228.86x = 1,357,533,639.56
  5. Step 5: Solve for x
    x = 1,357,533,639.56/46,228.86
  6. Step 6: Final answer
    x = 29,365.50

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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.