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Finding the Fourth Proportional to 93,642.72, 140,434.80 and 31,298.64

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Solution

The fourth proportional to 93,642.72, 140,434.80 and 31,298.64 is: 46,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,642.72 : 140,434.80 = 31,298.64 : x
  2. Step 2: Convert to fraction form
    93,642.72/140,434.80 = 31,298.64/x
  3. Step 3: Cross multiply
    93,642.72x = 140,434.80 × 31,298.64
  4. Step 4: Simplify right side
    93,642.72x = 4,395,418,248.67
  5. Step 5: Solve for x
    x = 4,395,418,248.67/93,642.72
  6. Step 6: Final answer
    x = 46,938.17

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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.