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Finding the Fourth Proportional to 105,098.76, 157,601.25 and 38,492.46

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Solution

The fourth proportional to 105,098.76, 157,601.25 and 38,492.46 is: 57,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.76 : 157,601.25 = 38,492.46 : x
  2. Step 2: Convert to fraction form
    105,098.76/157,601.25 = 38,492.46/x
  3. Step 3: Cross multiply
    105,098.76x = 157,601.25 × 38,492.46
  4. Step 4: Simplify right side
    105,098.76x = 6,066,459,811.58
  5. Step 5: Solve for x
    x = 6,066,459,811.58/105,098.76
  6. Step 6: Final answer
    x = 57,721.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.