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Finding the Fourth Proportional to 102,568.59, 153,803.64 and 48,488.24

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Solution

The fourth proportional to 102,568.59, 153,803.64 and 48,488.24 is: 72,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,568.59 : 153,803.64 = 48,488.24 : x
  2. Step 2: Convert to fraction form
    102,568.59/153,803.64 = 48,488.24/x
  3. Step 3: Cross multiply
    102,568.59x = 153,803.64 × 48,488.24
  4. Step 4: Simplify right side
    102,568.59x = 7,457,667,809.19
  5. Step 5: Solve for x
    x = 7,457,667,809.19/102,568.59
  6. Step 6: Final answer
    x = 72,709.08

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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.