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Finding the Fourth Proportional to 46,705.76, 64,453.95 and 29,938.76

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Solution

The fourth proportional to 46,705.76, 64,453.95 and 29,938.76 is: 41,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,705.76 : 64,453.95 = 29,938.76 : x
  2. Step 2: Convert to fraction form
    46,705.76/64,453.95 = 29,938.76/x
  3. Step 3: Cross multiply
    46,705.76x = 64,453.95 × 29,938.76
  4. Step 4: Simplify right side
    46,705.76x = 1,929,671,340.10
  5. Step 5: Solve for x
    x = 1,929,671,340.10/46,705.76
  6. Step 6: Final answer
    x = 41,315.49

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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.