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Finding the Fourth Proportional to 102,583.50, 153,895.20 and 39,399

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Solution

The fourth proportional to 102,583.50, 153,895.20 and 39,399 is: 59,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,583.50 : 153,895.20 = 39,399 : x
  2. Step 2: Convert to fraction form
    102,583.50/153,895.20 = 39,399/x
  3. Step 3: Cross multiply
    102,583.50x = 153,895.20 × 39,399
  4. Step 4: Simplify right side
    102,583.50x = 6,063,316,984.80
  5. Step 5: Solve for x
    x = 6,063,316,984.80/102,583.50
  6. Step 6: Final answer
    x = 59,106.16

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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.