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Finding the Fourth Proportional to 130,075.48, 195,090.54 and 36,559

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Solution

The fourth proportional to 130,075.48, 195,090.54 and 36,559 is: 54,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,075.48 : 195,090.54 = 36,559 : x
  2. Step 2: Convert to fraction form
    130,075.48/195,090.54 = 36,559/x
  3. Step 3: Cross multiply
    130,075.48x = 195,090.54 × 36,559
  4. Step 4: Simplify right side
    130,075.48x = 7,132,315,051.86
  5. Step 5: Solve for x
    x = 7,132,315,051.86/130,075.48
  6. Step 6: Final answer
    x = 54,832.13

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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.