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Finding the Fourth Proportional to 84,297.76, 116,330.08 and 46,572

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Solution

The fourth proportional to 84,297.76, 116,330.08 and 46,572 is: 64,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,297.76 : 116,330.08 = 46,572 : x
  2. Step 2: Convert to fraction form
    84,297.76/116,330.08 = 46,572/x
  3. Step 3: Cross multiply
    84,297.76x = 116,330.08 × 46,572
  4. Step 4: Simplify right side
    84,297.76x = 5,417,724,485.76
  5. Step 5: Solve for x
    x = 5,417,724,485.76/84,297.76
  6. Step 6: Final answer
    x = 64,268.90

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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.