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Finding the Fourth Proportional to 86,473, 119,332.74 and 46,729

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Solution

The fourth proportional to 86,473, 119,332.74 and 46,729 is: 64,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,473 : 119,332.74 = 46,729 : x
  2. Step 2: Convert to fraction form
    86,473/119,332.74 = 46,729/x
  3. Step 3: Cross multiply
    86,473x = 119,332.74 × 46,729
  4. Step 4: Simplify right side
    86,473x = 5,576,299,607.46
  5. Step 5: Solve for x
    x = 5,576,299,607.46/86,473
  6. Step 6: Final answer
    x = 64,486.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.