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Finding the Fourth Proportional to 32,075.04, 48,111.48 and 11,298

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Solution

The fourth proportional to 32,075.04, 48,111.48 and 11,298 is: 16,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075.04 : 48,111.48 = 11,298 : x
  2. Step 2: Convert to fraction form
    32,075.04/48,111.48 = 11,298/x
  3. Step 3: Cross multiply
    32,075.04x = 48,111.48 × 11,298
  4. Step 4: Simplify right side
    32,075.04x = 543,563,501.04
  5. Step 5: Solve for x
    x = 543,563,501.04/32,075.04
  6. Step 6: Final answer
    x = 16,946.62

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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.