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Finding the Fourth Proportional to 31,021.25, 46,547.25 and 12,300.88

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Solution

The fourth proportional to 31,021.25, 46,547.25 and 12,300.88 is: 18,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.25 : 46,547.25 = 12,300.88 : x
  2. Step 2: Convert to fraction form
    31,021.25/46,547.25 = 12,300.88/x
  3. Step 3: Cross multiply
    31,021.25x = 46,547.25 × 12,300.88
  4. Step 4: Simplify right side
    31,021.25x = 572,572,222.20
  5. Step 5: Solve for x
    x = 572,572,222.20/31,021.25
  6. Step 6: Final answer
    x = 18,457.42

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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.