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Finding the Fourth Proportional to 32,718.42, 49,075.68 and 11,657.34

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Solution

The fourth proportional to 32,718.42, 49,075.68 and 11,657.34 is: 17,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718.42 : 49,075.68 = 11,657.34 : x
  2. Step 2: Convert to fraction form
    32,718.42/49,075.68 = 11,657.34/x
  3. Step 3: Cross multiply
    32,718.42x = 49,075.68 × 11,657.34
  4. Step 4: Simplify right side
    32,718.42x = 572,092,011.86
  5. Step 5: Solve for x
    x = 572,092,011.86/32,718.42
  6. Step 6: Final answer
    x = 17,485.32

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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.