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Finding the Fourth Proportional to 97,065, 145,597.32 and 55,482.84

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Solution

The fourth proportional to 97,065, 145,597.32 and 55,482.84 is: 83,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,065 : 145,597.32 = 55,482.84 : x
  2. Step 2: Convert to fraction form
    97,065/145,597.32 = 55,482.84/x
  3. Step 3: Cross multiply
    97,065x = 145,597.32 × 55,482.84
  4. Step 4: Simplify right side
    97,065x = 8,078,152,809.99
  5. Step 5: Solve for x
    x = 8,078,152,809.99/97,065
  6. Step 6: Final answer
    x = 83,224.16

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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.