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Finding the Fourth Proportional to 107,683.60, 161,437.08 and 48,501.52

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Solution

The fourth proportional to 107,683.60, 161,437.08 and 48,501.52 is: 72,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,683.60 : 161,437.08 = 48,501.52 : x
  2. Step 2: Convert to fraction form
    107,683.60/161,437.08 = 48,501.52/x
  3. Step 3: Cross multiply
    107,683.60x = 161,437.08 × 48,501.52
  4. Step 4: Simplify right side
    107,683.60x = 7,829,943,764.36
  5. Step 5: Solve for x
    x = 7,829,943,764.36/107,683.60
  6. Step 6: Final answer
    x = 72,712.50

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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.