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Finding the Fourth Proportional to 46,434.60, 64,055.70 and 29,410.20

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Solution

The fourth proportional to 46,434.60, 64,055.70 and 29,410.20 is: 40,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,434.60 : 64,055.70 = 29,410.20 : x
  2. Step 2: Convert to fraction form
    46,434.60/64,055.70 = 29,410.20/x
  3. Step 3: Cross multiply
    46,434.60x = 64,055.70 × 29,410.20
  4. Step 4: Simplify right side
    46,434.60x = 1,883,890,948.14
  5. Step 5: Solve for x
    x = 1,883,890,948.14/46,434.60
  6. Step 6: Final answer
    x = 40,570.84

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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.