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Finding the Fourth Proportional to 30,075.68, 45,120 and 12,547.28

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Solution

The fourth proportional to 30,075.68, 45,120 and 12,547.28 is: 18,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.68 : 45,120 = 12,547.28 : x
  2. Step 2: Convert to fraction form
    30,075.68/45,120 = 12,547.28/x
  3. Step 3: Cross multiply
    30,075.68x = 45,120 × 12,547.28
  4. Step 4: Simplify right side
    30,075.68x = 566,133,273.60
  5. Step 5: Solve for x
    x = 566,133,273.60/30,075.68
  6. Step 6: Final answer
    x = 18,823.62

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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.