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Finding the Fourth Proportional to 98,802.86, 148,210.88 and 34,753.32

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Solution

The fourth proportional to 98,802.86, 148,210.88 and 34,753.32 is: 52,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802.86 : 148,210.88 = 34,753.32 : x
  2. Step 2: Convert to fraction form
    98,802.86/148,210.88 = 34,753.32/x
  3. Step 3: Cross multiply
    98,802.86x = 148,210.88 × 34,753.32
  4. Step 4: Simplify right side
    98,802.86x = 5,150,819,966.36
  5. Step 5: Solve for x
    x = 5,150,819,966.36/98,802.86
  6. Step 6: Final answer
    x = 52,132.30

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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.