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Finding the Fourth Proportional to 172,045, 258,089.37 and 47,386

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Solution

The fourth proportional to 172,045, 258,089.37 and 47,386 is: 71,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,045 : 258,089.37 = 47,386 : x
  2. Step 2: Convert to fraction form
    172,045/258,089.37 = 47,386/x
  3. Step 3: Cross multiply
    172,045x = 258,089.37 × 47,386
  4. Step 4: Simplify right side
    172,045x = 12,229,822,886.82
  5. Step 5: Solve for x
    x = 12,229,822,886.82/172,045
  6. Step 6: Final answer
    x = 71,085.02

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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.