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Finding the Fourth Proportional to 98,577.60, 147,837.60 and 35,390.40

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Solution

The fourth proportional to 98,577.60, 147,837.60 and 35,390.40 is: 53,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,577.60 : 147,837.60 = 35,390.40 : x
  2. Step 2: Convert to fraction form
    98,577.60/147,837.60 = 35,390.40/x
  3. Step 3: Cross multiply
    98,577.60x = 147,837.60 × 35,390.40
  4. Step 4: Simplify right side
    98,577.60x = 5,232,031,799.04
  5. Step 5: Solve for x
    x = 5,232,031,799.04/98,577.60
  6. Step 6: Final answer
    x = 53,075.26

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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.