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Finding the Fourth Proportional to 86,537, 119,421.06 and 46,793

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Solution

The fourth proportional to 86,537, 119,421.06 and 46,793 is: 64,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,537 : 119,421.06 = 46,793 : x
  2. Step 2: Convert to fraction form
    86,537/119,421.06 = 46,793/x
  3. Step 3: Cross multiply
    86,537x = 119,421.06 × 46,793
  4. Step 4: Simplify right side
    86,537x = 5,588,069,660.58
  5. Step 5: Solve for x
    x = 5,588,069,660.58/86,537
  6. Step 6: Final answer
    x = 64,574.34

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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.