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Finding the Fourth Proportional to 46,440.40, 64,106.08 and 31,342

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Solution

The fourth proportional to 46,440.40, 64,106.08 and 31,342 is: 43,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,440.40 : 64,106.08 = 31,342 : x
  2. Step 2: Convert to fraction form
    46,440.40/64,106.08 = 31,342/x
  3. Step 3: Cross multiply
    46,440.40x = 64,106.08 × 31,342
  4. Step 4: Simplify right side
    46,440.40x = 2,009,212,759.36
  5. Step 5: Solve for x
    x = 2,009,212,759.36/46,440.40
  6. Step 6: Final answer
    x = 43,264.33

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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.