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Finding the Fourth Proportional to 40,762, 56,345.70 and 34,008.22

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Solution

The fourth proportional to 40,762, 56,345.70 and 34,008.22 is: 47,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,762 : 56,345.70 = 34,008.22 : x
  2. Step 2: Convert to fraction form
    40,762/56,345.70 = 34,008.22/x
  3. Step 3: Cross multiply
    40,762x = 56,345.70 × 34,008.22
  4. Step 4: Simplify right side
    40,762x = 1,916,216,961.65
  5. Step 5: Solve for x
    x = 1,916,216,961.65/40,762
  6. Step 6: Final answer
    x = 47,009.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.