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Finding the Fourth Proportional to 35,486.19, 53,210.70 and 10,522.80

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Solution

The fourth proportional to 35,486.19, 53,210.70 and 10,522.80 is: 15,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486.19 : 53,210.70 = 10,522.80 : x
  2. Step 2: Convert to fraction form
    35,486.19/53,210.70 = 10,522.80/x
  3. Step 3: Cross multiply
    35,486.19x = 53,210.70 × 10,522.80
  4. Step 4: Simplify right side
    35,486.19x = 559,925,553.96
  5. Step 5: Solve for x
    x = 559,925,553.96/35,486.19
  6. Step 6: Final answer
    x = 15,778.69

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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.