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Finding the Fourth Proportional to 84,382.48, 116,444.48 and 46,656.72

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Solution

The fourth proportional to 84,382.48, 116,444.48 and 46,656.72 is: 64,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,382.48 : 116,444.48 = 46,656.72 : x
  2. Step 2: Convert to fraction form
    84,382.48/116,444.48 = 46,656.72/x
  3. Step 3: Cross multiply
    84,382.48x = 116,444.48 × 46,656.72
  4. Step 4: Simplify right side
    84,382.48x = 5,432,917,498.91
  5. Step 5: Solve for x
    x = 5,432,917,498.91/84,382.48
  6. Step 6: Final answer
    x = 64,384.43

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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.