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Finding the Fourth Proportional to 46,752.75, 70,129.13 and 20,457.50

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Solution

The fourth proportional to 46,752.75, 70,129.13 and 20,457.50 is: 30,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752.75 : 70,129.13 = 20,457.50 : x
  2. Step 2: Convert to fraction form
    46,752.75/70,129.13 = 20,457.50/x
  3. Step 3: Cross multiply
    46,752.75x = 70,129.13 × 20,457.50
  4. Step 4: Simplify right side
    46,752.75x = 1,434,666,224.04
  5. Step 5: Solve for x
    x = 1,434,666,224.04/46,752.75
  6. Step 6: Final answer
    x = 30,686.24

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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.