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Finding the Fourth Proportional to 98,253.80, 147,409.40 and 31,692.45

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Solution

The fourth proportional to 98,253.80, 147,409.40 and 31,692.45 is: 47,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253.80 : 147,409.40 = 31,692.45 : x
  2. Step 2: Convert to fraction form
    98,253.80/147,409.40 = 31,692.45/x
  3. Step 3: Cross multiply
    98,253.80x = 147,409.40 × 31,692.45
  4. Step 4: Simplify right side
    98,253.80x = 4,671,765,039.03
  5. Step 5: Solve for x
    x = 4,671,765,039.03/98,253.80
  6. Step 6: Final answer
    x = 47,547.93

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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.