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Finding the Fourth Proportional to 107,643.76, 161,506.64 and 48,465.82

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Solution

The fourth proportional to 107,643.76, 161,506.64 and 48,465.82 is: 72,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,643.76 : 161,506.64 = 48,465.82 : x
  2. Step 2: Convert to fraction form
    107,643.76/161,506.64 = 48,465.82/x
  3. Step 3: Cross multiply
    107,643.76x = 161,506.64 × 48,465.82
  4. Step 4: Simplify right side
    107,643.76x = 7,827,551,743.04
  5. Step 5: Solve for x
    x = 7,827,551,743.04/107,643.76
  6. Step 6: Final answer
    x = 72,717.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.