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Finding the Fourth Proportional to 105,572.16, 145,683.36 and 57,816

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Solution

The fourth proportional to 105,572.16, 145,683.36 and 57,816 is: 79,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,572.16 : 145,683.36 = 57,816 : x
  2. Step 2: Convert to fraction form
    105,572.16/145,683.36 = 57,816/x
  3. Step 3: Cross multiply
    105,572.16x = 145,683.36 × 57,816
  4. Step 4: Simplify right side
    105,572.16x = 8,422,829,141.76
  5. Step 5: Solve for x
    x = 8,422,829,141.76/105,572.16
  6. Step 6: Final answer
    x = 79,782.67

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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.