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Finding the Fourth Proportional to 46,711, 64,490.34 and 29,973.16

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Solution

The fourth proportional to 46,711, 64,490.34 and 29,973.16 is: 41,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711 : 64,490.34 = 29,973.16 : x
  2. Step 2: Convert to fraction form
    46,711/64,490.34 = 29,973.16/x
  3. Step 3: Cross multiply
    46,711x = 64,490.34 × 29,973.16
  4. Step 4: Simplify right side
    46,711x = 1,932,979,279.27
  5. Step 5: Solve for x
    x = 1,932,979,279.27/46,711
  6. Step 6: Final answer
    x = 41,381.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.