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Finding the Fourth Proportional to 72,692.30, 109,038.45 and 47,809.10

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Solution

The fourth proportional to 72,692.30, 109,038.45 and 47,809.10 is: 71,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,692.30 : 109,038.45 = 47,809.10 : x
  2. Step 2: Convert to fraction form
    72,692.30/109,038.45 = 47,809.10/x
  3. Step 3: Cross multiply
    72,692.30x = 109,038.45 × 47,809.10
  4. Step 4: Simplify right side
    72,692.30x = 5,213,030,159.90
  5. Step 5: Solve for x
    x = 5,213,030,159.90/72,692.30
  6. Step 6: Final answer
    x = 71,713.65

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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.