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Finding the Fourth Proportional to 76,106, 105,026.28 and 42,572

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Solution

The fourth proportional to 76,106, 105,026.28 and 42,572 is: 58,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106 : 105,026.28 = 42,572 : x
  2. Step 2: Convert to fraction form
    76,106/105,026.28 = 42,572/x
  3. Step 3: Cross multiply
    76,106x = 105,026.28 × 42,572
  4. Step 4: Simplify right side
    76,106x = 4,471,178,792.16
  5. Step 5: Solve for x
    x = 4,471,178,792.16/76,106
  6. Step 6: Final answer
    x = 58,749.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.