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Finding the Fourth Proportional to 56,387.46, 77,822.98 and 32,509.46

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Solution

The fourth proportional to 56,387.46, 77,822.98 and 32,509.46 is: 44,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387.46 : 77,822.98 = 32,509.46 : x
  2. Step 2: Convert to fraction form
    56,387.46/77,822.98 = 32,509.46/x
  3. Step 3: Cross multiply
    56,387.46x = 77,822.98 × 32,509.46
  4. Step 4: Simplify right side
    56,387.46x = 2,529,983,055.39
  5. Step 5: Solve for x
    x = 2,529,983,055.39/56,387.46
  6. Step 6: Final answer
    x = 44,867.83

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1.5x scale

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.