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Finding the Fourth Proportional to 30,897, 46,352.16 and 12,429

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Solution

The fourth proportional to 30,897, 46,352.16 and 12,429 is: 18,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 46,352.16 = 12,429 : x
  2. Step 2: Convert to fraction form
    30,897/46,352.16 = 12,429/x
  3. Step 3: Cross multiply
    30,897x = 46,352.16 × 12,429
  4. Step 4: Simplify right side
    30,897x = 576,110,996.64
  5. Step 5: Solve for x
    x = 576,110,996.64/30,897
  6. Step 6: Final answer
    x = 18,646.18

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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.