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Finding the Fourth Proportional to 47,083, 70,624.36 and 29,565.12

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Solution

The fourth proportional to 47,083, 70,624.36 and 29,565.12 is: 44,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,083 : 70,624.36 = 29,565.12 : x
  2. Step 2: Convert to fraction form
    47,083/70,624.36 = 29,565.12/x
  3. Step 3: Cross multiply
    47,083x = 70,624.36 × 29,565.12
  4. Step 4: Simplify right side
    47,083x = 2,088,017,678.32
  5. Step 5: Solve for x
    x = 2,088,017,678.32/47,083
  6. Step 6: Final answer
    x = 44,347.59

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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.