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Finding the Fourth Proportional to 102,389.55, 153,482.27 and 48,983.01

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Solution

The fourth proportional to 102,389.55, 153,482.27 and 48,983.01 is: 73,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,389.55 : 153,482.27 = 48,983.01 : x
  2. Step 2: Convert to fraction form
    102,389.55/153,482.27 = 48,983.01/x
  3. Step 3: Cross multiply
    102,389.55x = 153,482.27 × 48,983.01
  4. Step 4: Simplify right side
    102,389.55x = 7,518,023,321.32
  5. Step 5: Solve for x
    x = 7,518,023,321.32/102,389.55
  6. Step 6: Final answer
    x = 73,425.69

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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.