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Finding the Fourth Proportional to 102,656.66, 153,989.35 and 32,534.42

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Solution

The fourth proportional to 102,656.66, 153,989.35 and 32,534.42 is: 48,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.66 : 153,989.35 = 32,534.42 : x
  2. Step 2: Convert to fraction form
    102,656.66/153,989.35 = 32,534.42/x
  3. Step 3: Cross multiply
    102,656.66x = 153,989.35 × 32,534.42
  4. Step 4: Simplify right side
    102,656.66x = 5,009,953,337.14
  5. Step 5: Solve for x
    x = 5,009,953,337.14/102,656.66
  6. Step 6: Final answer
    x = 48,803.01

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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.