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Finding the Fourth Proportional to 83,675.34, 115,472.94 and 45,435.32

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Solution

The fourth proportional to 83,675.34, 115,472.94 and 45,435.32 is: 62,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675.34 : 115,472.94 = 45,435.32 : x
  2. Step 2: Convert to fraction form
    83,675.34/115,472.94 = 45,435.32/x
  3. Step 3: Cross multiply
    83,675.34x = 115,472.94 × 45,435.32
  4. Step 4: Simplify right side
    83,675.34x = 5,246,549,980.24
  5. Step 5: Solve for x
    x = 5,246,549,980.24/83,675.34
  6. Step 6: Final answer
    x = 62,701.27

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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.