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Finding the Fourth Proportional to 72,886.14, 109,329.57 and 22,970.16

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Solution

The fourth proportional to 72,886.14, 109,329.57 and 22,970.16 is: 34,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,886.14 : 109,329.57 = 22,970.16 : x
  2. Step 2: Convert to fraction form
    72,886.14/109,329.57 = 22,970.16/x
  3. Step 3: Cross multiply
    72,886.14x = 109,329.57 × 22,970.16
  4. Step 4: Simplify right side
    72,886.14x = 2,511,317,715.63
  5. Step 5: Solve for x
    x = 2,511,317,715.63/72,886.14
  6. Step 6: Final answer
    x = 34,455.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.