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Finding the Fourth Proportional to 102,242.52, 153,311.91 and 46,791

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Solution

The fourth proportional to 102,242.52, 153,311.91 and 46,791 is: 70,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242.52 : 153,311.91 = 46,791 : x
  2. Step 2: Convert to fraction form
    102,242.52/153,311.91 = 46,791/x
  3. Step 3: Cross multiply
    102,242.52x = 153,311.91 × 46,791
  4. Step 4: Simplify right side
    102,242.52x = 7,173,617,580.81
  5. Step 5: Solve for x
    x = 7,173,617,580.81/102,242.52
  6. Step 6: Final answer
    x = 70,162.76

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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.