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Finding the Fourth Proportional to 115,147, 172,646.28 and 48,569.32

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Solution

The fourth proportional to 115,147, 172,646.28 and 48,569.32 is: 72,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,147 : 172,646.28 = 48,569.32 : x
  2. Step 2: Convert to fraction form
    115,147/172,646.28 = 48,569.32/x
  3. Step 3: Cross multiply
    115,147x = 172,646.28 × 48,569.32
  4. Step 4: Simplify right side
    115,147x = 8,385,312,420.13
  5. Step 5: Solve for x
    x = 8,385,312,420.13/115,147
  6. Step 6: Final answer
    x = 72,822.67

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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.