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Finding the Fourth Proportional to 98,070.16, 147,127.32 and 35,740.88

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Solution

The fourth proportional to 98,070.16, 147,127.32 and 35,740.88 is: 53,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,070.16 : 147,127.32 = 35,740.88 : x
  2. Step 2: Convert to fraction form
    98,070.16/147,127.32 = 35,740.88/x
  3. Step 3: Cross multiply
    98,070.16x = 147,127.32 × 35,740.88
  4. Step 4: Simplify right side
    98,070.16x = 5,258,459,888.84
  5. Step 5: Solve for x
    x = 5,258,459,888.84/98,070.16
  6. Step 6: Final answer
    x = 53,619.37

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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.