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Finding the Fourth Proportional to 152,034.64, 228,065.40 and 39,714

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Solution

The fourth proportional to 152,034.64, 228,065.40 and 39,714 is: 59,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034.64 : 228,065.40 = 39,714 : x
  2. Step 2: Convert to fraction form
    152,034.64/228,065.40 = 39,714/x
  3. Step 3: Cross multiply
    152,034.64x = 228,065.40 × 39,714
  4. Step 4: Simplify right side
    152,034.64x = 9,057,389,295.60
  5. Step 5: Solve for x
    x = 9,057,389,295.60/152,034.64
  6. Step 6: Final answer
    x = 59,574.51

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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.