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Finding the Fourth Proportional to 97,153.17, 145,734.93 and 30,598.50

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Solution

The fourth proportional to 97,153.17, 145,734.93 and 30,598.50 is: 45,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,153.17 : 145,734.93 = 30,598.50 : x
  2. Step 2: Convert to fraction form
    97,153.17/145,734.93 = 30,598.50/x
  3. Step 3: Cross multiply
    97,153.17x = 145,734.93 × 30,598.50
  4. Step 4: Simplify right side
    97,153.17x = 4,459,270,255.61
  5. Step 5: Solve for x
    x = 4,459,270,255.61/97,153.17
  6. Step 6: Final answer
    x = 45,899.38

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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.