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Finding the Fourth Proportional to 84,253.56, 116,268.36 and 46,527

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Solution

The fourth proportional to 84,253.56, 116,268.36 and 46,527 is: 64,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,253.56 : 116,268.36 = 46,527 : x
  2. Step 2: Convert to fraction form
    84,253.56/116,268.36 = 46,527/x
  3. Step 3: Cross multiply
    84,253.56x = 116,268.36 × 46,527
  4. Step 4: Simplify right side
    84,253.56x = 5,409,617,985.72
  5. Step 5: Solve for x
    x = 5,409,617,985.72/84,253.56
  6. Step 6: Final answer
    x = 64,206.40

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1.5x scale

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.