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Finding the Fourth Proportional to 76,191.65, 114,345.80 and 34,055.45

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Solution

The fourth proportional to 76,191.65, 114,345.80 and 34,055.45 is: 51,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,191.65 : 114,345.80 = 34,055.45 : x
  2. Step 2: Convert to fraction form
    76,191.65/114,345.80 = 34,055.45/x
  3. Step 3: Cross multiply
    76,191.65x = 114,345.80 × 34,055.45
  4. Step 4: Simplify right side
    76,191.65x = 3,894,097,489.11
  5. Step 5: Solve for x
    x = 3,894,097,489.11/76,191.65
  6. Step 6: Final answer
    x = 51,109.24

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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.