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Finding the Fourth Proportional to 30,583.34, 45,874.43 and 12,567.74

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Solution

The fourth proportional to 30,583.34, 45,874.43 and 12,567.74 is: 18,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.34 : 45,874.43 = 12,567.74 : x
  2. Step 2: Convert to fraction form
    30,583.34/45,874.43 = 12,567.74/x
  3. Step 3: Cross multiply
    30,583.34x = 45,874.43 × 12,567.74
  4. Step 4: Simplify right side
    30,583.34x = 576,537,663.81
  5. Step 5: Solve for x
    x = 576,537,663.81/30,583.34
  6. Step 6: Final answer
    x = 18,851.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.