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Finding the Fourth Proportional to 96,347.10, 132,941.14 and 56,046.16

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Solution

The fourth proportional to 96,347.10, 132,941.14 and 56,046.16 is: 77,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,347.10 : 132,941.14 = 56,046.16 : x
  2. Step 2: Convert to fraction form
    96,347.10/132,941.14 = 56,046.16/x
  3. Step 3: Cross multiply
    96,347.10x = 132,941.14 × 56,046.16
  4. Step 4: Simplify right side
    96,347.10x = 7,450,840,403.02
  5. Step 5: Solve for x
    x = 7,450,840,403.02/96,347.10
  6. Step 6: Final answer
    x = 77,333.31

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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.