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Finding the Fourth Proportional to 102,282.01, 153,437.60 and 49,655.50

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Solution

The fourth proportional to 102,282.01, 153,437.60 and 49,655.50 is: 74,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.01 : 153,437.60 = 49,655.50 : x
  2. Step 2: Convert to fraction form
    102,282.01/153,437.60 = 49,655.50/x
  3. Step 3: Cross multiply
    102,282.01x = 153,437.60 × 49,655.50
  4. Step 4: Simplify right side
    102,282.01x = 7,619,020,746.80
  5. Step 5: Solve for x
    x = 7,619,020,746.80/102,282.01
  6. Step 6: Final answer
    x = 74,490.33

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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.