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Finding the Fourth Proportional to 105,101.32, 157,650.94 and 48,159.10

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Solution

The fourth proportional to 105,101.32, 157,650.94 and 48,159.10 is: 72,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,101.32 : 157,650.94 = 48,159.10 : x
  2. Step 2: Convert to fraction form
    105,101.32/157,650.94 = 48,159.10/x
  3. Step 3: Cross multiply
    105,101.32x = 157,650.94 × 48,159.10
  4. Step 4: Simplify right side
    105,101.32x = 7,592,327,384.55
  5. Step 5: Solve for x
    x = 7,592,327,384.55/105,101.32
  6. Step 6: Final answer
    x = 72,238.17

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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.