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Finding the Fourth Proportional to 98,564, 147,869.40 and 32,004.32

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Solution

The fourth proportional to 98,564, 147,869.40 and 32,004.32 is: 48,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564 : 147,869.40 = 32,004.32 : x
  2. Step 2: Convert to fraction form
    98,564/147,869.40 = 32,004.32/x
  3. Step 3: Cross multiply
    98,564x = 147,869.40 × 32,004.32
  4. Step 4: Simplify right side
    98,564x = 4,732,459,595.81
  5. Step 5: Solve for x
    x = 4,732,459,595.81/98,564
  6. Step 6: Final answer
    x = 48,014.08

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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.