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Finding the Fourth Proportional to 102,536.40, 153,775.80 and 32,437.20

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Solution

The fourth proportional to 102,536.40, 153,775.80 and 32,437.20 is: 48,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536.40 : 153,775.80 = 32,437.20 : x
  2. Step 2: Convert to fraction form
    102,536.40/153,775.80 = 32,437.20/x
  3. Step 3: Cross multiply
    102,536.40x = 153,775.80 × 32,437.20
  4. Step 4: Simplify right side
    102,536.40x = 4,988,056,379.76
  5. Step 5: Solve for x
    x = 4,988,056,379.76/102,536.40
  6. Step 6: Final answer
    x = 48,646.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.