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Finding the Fourth Proportional to 102,464.50, 153,707.00 and 31,386.32

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Solution

The fourth proportional to 102,464.50, 153,707.00 and 31,386.32 is: 47,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464.50 : 153,707.00 = 31,386.32 : x
  2. Step 2: Convert to fraction form
    102,464.50/153,707.00 = 31,386.32/x
  3. Step 3: Cross multiply
    102,464.50x = 153,707.00 × 31,386.32
  4. Step 4: Simplify right side
    102,464.50x = 4,824,296,525.29
  5. Step 5: Solve for x
    x = 4,824,296,525.29/102,464.50
  6. Step 6: Final answer
    x = 47,082.61

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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.