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Finding the Fourth Proportional to 31,341.40, 46,967.90 and 17,307.74

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Solution

The fourth proportional to 31,341.40, 46,967.90 and 17,307.74 is: 25,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.40 : 46,967.90 = 17,307.74 : x
  2. Step 2: Convert to fraction form
    31,341.40/46,967.90 = 17,307.74/x
  3. Step 3: Cross multiply
    31,341.40x = 46,967.90 × 17,307.74
  4. Step 4: Simplify right side
    31,341.40x = 812,908,362.24
  5. Step 5: Solve for x
    x = 812,908,362.24/31,341.40
  6. Step 6: Final answer
    x = 25,937.21

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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.