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Finding the Fourth Proportional to 172,032.30, 258,048.47 and 53,713.77

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Solution

The fourth proportional to 172,032.30, 258,048.47 and 53,713.77 is: 80,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032.30 : 258,048.47 = 53,713.77 : x
  2. Step 2: Convert to fraction form
    172,032.30/258,048.47 = 53,713.77/x
  3. Step 3: Cross multiply
    172,032.30x = 258,048.47 × 53,713.77
  4. Step 4: Simplify right side
    172,032.30x = 13,860,755,897.86
  5. Step 5: Solve for x
    x = 13,860,755,897.86/172,032.30
  6. Step 6: Final answer
    x = 80,570.66

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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.