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Finding the Fourth Proportional to 98,580.16, 147,894.85 and 28,459.48

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Solution

The fourth proportional to 98,580.16, 147,894.85 and 28,459.48 is: 42,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,580.16 : 147,894.85 = 28,459.48 : x
  2. Step 2: Convert to fraction form
    98,580.16/147,894.85 = 28,459.48/x
  3. Step 3: Cross multiply
    98,580.16x = 147,894.85 × 28,459.48
  4. Step 4: Simplify right side
    98,580.16x = 4,209,010,012.84
  5. Step 5: Solve for x
    x = 4,209,010,012.84/98,580.16
  6. Step 6: Final answer
    x = 42,696.32

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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.