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Finding the Fourth Proportional to 130,525.60, 195,795.84 and 37,024

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Solution

The fourth proportional to 130,525.60, 195,795.84 and 37,024 is: 55,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,525.60 : 195,795.84 = 37,024 : x
  2. Step 2: Convert to fraction form
    130,525.60/195,795.84 = 37,024/x
  3. Step 3: Cross multiply
    130,525.60x = 195,795.84 × 37,024
  4. Step 4: Simplify right side
    130,525.60x = 7,249,145,180.16
  5. Step 5: Solve for x
    x = 7,249,145,180.16/130,525.60
  6. Step 6: Final answer
    x = 55,538.11

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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.