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Finding the Fourth Proportional to 32,075.16, 48,119.04 and 9,884.76

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Solution

The fourth proportional to 32,075.16, 48,119.04 and 9,884.76 is: 14,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075.16 : 48,119.04 = 9,884.76 : x
  2. Step 2: Convert to fraction form
    32,075.16/48,119.04 = 9,884.76/x
  3. Step 3: Cross multiply
    32,075.16x = 48,119.04 × 9,884.76
  4. Step 4: Simplify right side
    32,075.16x = 475,645,161.83
  5. Step 5: Solve for x
    x = 475,645,161.83/32,075.16
  6. Step 6: Final answer
    x = 14,829.08

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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.