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Finding the Fourth Proportional to 102,595.01, 153,916.20 and 32,474.32

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Solution

The fourth proportional to 102,595.01, 153,916.20 and 32,474.32 is: 48,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,595.01 : 153,916.20 = 32,474.32 : x
  2. Step 2: Convert to fraction form
    102,595.01/153,916.20 = 32,474.32/x
  3. Step 3: Cross multiply
    102,595.01x = 153,916.20 × 32,474.32
  4. Step 4: Simplify right side
    102,595.01x = 4,998,323,547.19
  5. Step 5: Solve for x
    x = 4,998,323,547.19/102,595.01
  6. Step 6: Final answer
    x = 48,718.98

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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.