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Finding the Fourth Proportional to 51,477.63, 77,070.80 and 32,711.14

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Solution

The fourth proportional to 51,477.63, 77,070.80 and 32,711.14 is: 48,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,477.63 : 77,070.80 = 32,711.14 : x
  2. Step 2: Convert to fraction form
    51,477.63/77,070.80 = 32,711.14/x
  3. Step 3: Cross multiply
    51,477.63x = 77,070.80 × 32,711.14
  4. Step 4: Simplify right side
    51,477.63x = 2,521,073,565.16
  5. Step 5: Solve for x
    x = 2,521,073,565.16/51,477.63
  6. Step 6: Final answer
    x = 48,974.16

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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.