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Finding the Fourth Proportional to 30,483.16, 42,065.04 and 16,870.46

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Solution

The fourth proportional to 30,483.16, 42,065.04 and 16,870.46 is: 23,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483.16 : 42,065.04 = 16,870.46 : x
  2. Step 2: Convert to fraction form
    30,483.16/42,065.04 = 16,870.46/x
  3. Step 3: Cross multiply
    30,483.16x = 42,065.04 × 16,870.46
  4. Step 4: Simplify right side
    30,483.16x = 709,656,364.39
  5. Step 5: Solve for x
    x = 709,656,364.39/30,483.16
  6. Step 6: Final answer
    x = 23,280.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.