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Finding the Fourth Proportional to 102,303.16, 153,445.02 and 35,731

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Solution

The fourth proportional to 102,303.16, 153,445.02 and 35,731 is: 53,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,303.16 : 153,445.02 = 35,731 : x
  2. Step 2: Convert to fraction form
    102,303.16/153,445.02 = 35,731/x
  3. Step 3: Cross multiply
    102,303.16x = 153,445.02 × 35,731
  4. Step 4: Simplify right side
    102,303.16x = 5,482,744,009.62
  5. Step 5: Solve for x
    x = 5,482,744,009.62/102,303.16
  6. Step 6: Final answer
    x = 53,593.11

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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.