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Finding the Fourth Proportional to 96,317.84, 144,483.24 and 37,154

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Solution

The fourth proportional to 96,317.84, 144,483.24 and 37,154 is: 55,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,317.84 : 144,483.24 = 37,154 : x
  2. Step 2: Convert to fraction form
    96,317.84/144,483.24 = 37,154/x
  3. Step 3: Cross multiply
    96,317.84x = 144,483.24 × 37,154
  4. Step 4: Simplify right side
    96,317.84x = 5,368,130,298.96
  5. Step 5: Solve for x
    x = 5,368,130,298.96/96,317.84
  6. Step 6: Final answer
    x = 55,733.50

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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.