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Finding the Fourth Proportional to 56,347, 77,740.02 and 32,473.24

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Solution

The fourth proportional to 56,347, 77,740.02 and 32,473.24 is: 44,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,347 : 77,740.02 = 32,473.24 : x
  2. Step 2: Convert to fraction form
    56,347/77,740.02 = 32,473.24/x
  3. Step 3: Cross multiply
    56,347x = 77,740.02 × 32,473.24
  4. Step 4: Simplify right side
    56,347x = 2,524,470,327.06
  5. Step 5: Solve for x
    x = 2,524,470,327.06/56,347
  6. Step 6: Final answer
    x = 44,802.21

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Why These Related Problems?

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