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Finding the Fourth Proportional to 47,700.60, 65,905.56 and 35,803.32

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Solution

The fourth proportional to 47,700.60, 65,905.56 and 35,803.32 is: 49,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700.60 : 65,905.56 = 35,803.32 : x
  2. Step 2: Convert to fraction form
    47,700.60/65,905.56 = 35,803.32/x
  3. Step 3: Cross multiply
    47,700.60x = 65,905.56 × 35,803.32
  4. Step 4: Simplify right side
    47,700.60x = 2,359,637,854.46
  5. Step 5: Solve for x
    x = 2,359,637,854.46/47,700.60
  6. Step 6: Final answer
    x = 49,467.68

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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.