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Finding the Fourth Proportional to 35,578.40, 53,368.68 and 12,204.50

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Solution

The fourth proportional to 35,578.40, 53,368.68 and 12,204.50 is: 18,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.40 : 53,368.68 = 12,204.50 : x
  2. Step 2: Convert to fraction form
    35,578.40/53,368.68 = 12,204.50/x
  3. Step 3: Cross multiply
    35,578.40x = 53,368.68 × 12,204.50
  4. Step 4: Simplify right side
    35,578.40x = 651,338,055.06
  5. Step 5: Solve for x
    x = 651,338,055.06/35,578.40
  6. Step 6: Final answer
    x = 18,307.12

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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.