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Finding the Fourth Proportional to 102,029.86, 153,070.73 and 59,945.50

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Solution

The fourth proportional to 102,029.86, 153,070.73 and 59,945.50 is: 89,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,029.86 : 153,070.73 = 59,945.50 : x
  2. Step 2: Convert to fraction form
    102,029.86/153,070.73 = 59,945.50/x
  3. Step 3: Cross multiply
    102,029.86x = 153,070.73 × 59,945.50
  4. Step 4: Simplify right side
    102,029.86x = 9,175,901,445.22
  5. Step 5: Solve for x
    x = 9,175,901,445.22/102,029.86
  6. Step 6: Final answer
    x = 89,933.49

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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.