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Finding the Fourth Proportional to 102,368.80, 153,569.40 and 35,807.32

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Solution

The fourth proportional to 102,368.80, 153,569.40 and 35,807.32 is: 53,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368.80 : 153,569.40 = 35,807.32 : x
  2. Step 2: Convert to fraction form
    102,368.80/153,569.40 = 35,807.32/x
  3. Step 3: Cross multiply
    102,368.80x = 153,569.40 × 35,807.32
  4. Step 4: Simplify right side
    102,368.80x = 5,498,908,648.01
  5. Step 5: Solve for x
    x = 5,498,908,648.01/102,368.80
  6. Step 6: Final answer
    x = 53,716.65

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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.