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Finding the Fourth Proportional to 32,762.24, 49,130.89 and 11,698.36

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Solution

The fourth proportional to 32,762.24, 49,130.89 and 11,698.36 is: 17,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.24 : 49,130.89 = 11,698.36 : x
  2. Step 2: Convert to fraction form
    32,762.24/49,130.89 = 11,698.36/x
  3. Step 3: Cross multiply
    32,762.24x = 49,130.89 × 11,698.36
  4. Step 4: Simplify right side
    32,762.24x = 574,750,686.27
  5. Step 5: Solve for x
    x = 574,750,686.27/32,762.24
  6. Step 6: Final answer
    x = 17,543.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.