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Finding the Fourth Proportional to 74,496.32, 102,802.32 and 40,962.08

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Solution

The fourth proportional to 74,496.32, 102,802.32 and 40,962.08 is: 56,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496.32 : 102,802.32 = 40,962.08 : x
  2. Step 2: Convert to fraction form
    74,496.32/102,802.32 = 40,962.08/x
  3. Step 3: Cross multiply
    74,496.32x = 102,802.32 × 40,962.08
  4. Step 4: Simplify right side
    74,496.32x = 4,210,996,856.03
  5. Step 5: Solve for x
    x = 4,210,996,856.03/74,496.32
  6. Step 6: Final answer
    x = 56,526.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.